RUn two executables in Full Screen on two different Monitors

I don't know if this a windows properties setting or something I need to configure in the executable, but if it's a windows thing maybe you can help me out.

I've got a PC with two monitors. I've also got two Executables, both of which are set to run in Full Screen Mode. I need to set one up to use the first monitor, and the other to use the second. In other words, when I double-click on the first executable, it should always open up on the first monitor, and when I run the second, it should always open up on the second monitor. I've tried dragging the executable over to the second monitor and running, and that doesn't work. I've tried pausing execution (successfully) and moving the (reduced but not minimized) app over to the second monitor, and that doesn't work either (it snaps back to full screen mode (good) on the first monitor (bad)).