Where is my RAM located within this list? For the life of me I cannot find it:

SiSoftware Sandra

ID
Host Name : Haus-PC
Workgroup : WORKGROUP

Computer
Model : Compaq Presario 061 ED881AA-ABA SR1650NX NA580
Serial Number : MXF53406S0
Chassis : Desktop
Mainboard : ASUS Amberine M
Serial Number : MB-1234567890
BIOS : Phoenix Technologies, LTD 3.07 07/29/2005
Total Memory : 1.75GB

Processors
Processor : AMD Athlon(tm) 64 Processor 3500+ (2.2GHz, 2.2GHz IMC, 512kB L2)
Socket/Slot : Socket µPGA939

Chipset
Memory Controller : HP RS480 Host Bridge 200MHz, 1.75GB 332MHz 64-bit

Memory Module(s)
Memory Module : Samsung M3 68L6423FTN-CCC 512MB DDR PC1-3200U DDR1-400 (3-3-3-8 2-11-0-0)
Memory Module : Samsung M3 68L6423FTN-CCC 512MB DDR PC1-3200U DDR1-400 (3-3-3-8 2-11-0-0)
Memory Module : Silicon Tech (STEC) 512MB DDR PC1-2700U DDR1-334 (2.5-3-3-7 2-10-0-0)
Memory Module : Micron 8VDDT3264AG-40BG5 256MB DDR PC1-3200U DDR1-400 (3-3-3-8 2-11-0-0)

Video System
Monitor/Panel : Hewlett Packard HP w2207 Wide LCD Monitor (1680x1050, 22.0")
Video Adapter : Radeon X1300/X1550 Series (PS3.0, VS3.0, 256MB, PCIe 1.00 x16)

As Nirth noted, the Memory Modules are your RAM sticks.

Since you're a nano-augmented bionic man, they're in your fucking BRAIN.

XD Unless I'm missing something I meet the minimum requirements for ArmA 1 correct?

I would hazard a guess that your GPU is the issue. .

The requirements are listed in small text here on arma 1 page. Your CPU barely meets its requirement (2.2ghz over 2.0ghz) but your GPU I'm not sure as I don't know of the series you have. The import requirement seem to be Shader Model 2.0 and there's a possibility yours doesn't have that unfortunately.

I recall a thread you stating that you plan on buying a new computer so it won't matter much then but in case you won't, upgrading the GPU alone to meet arma's requirement won't be that expensive becauseof the age of the game.

arma 1 ? wiki says "Graphics card: Nvidia Geforce 6800 series or ATI Radeon X800 series or higher"
so you should be able to run it fine.
the ati x1000 series do support sm3.0 so its not a an issue , i have a ati x1400 it can run mass effect 3 well just to compare

But GeForce 6800 and Radeon X800 suggest a level of rendering power, not just shader requirements. If he has an X1300 then that would be slower than these chips.

hmm could be the game might run slower but , it will run