Trigger the opening of a second program when opening another

Solution 1:

One simple way would be to replace the shortcut to your application with a shortcut to a batch file that opens the application and the 2nd application.

Something like this:

@echo off
start "main title" "C:\program files\main application\main application.exe"
start "other title" "C:\program files\other application\other application.exe"

(double check the syntax as I'm a little rusty)