years from now. We are one tiny little planet in the middle of nowhere. For all we know aliens might live on the opposite end of the galaxay and we are the only life in this part of the galaxy so it would take million of years for our signals to reach across.
Radio signals travel at the speed of light.
The galaxy is 100,000 lightyears across. Ergo, it'd take 100,000 years for our signals to reach the otherside of the galaxy. Not "millions."
There's also some question as to whether or not our signals can make it much past the influence of our solar system before being blown back by the "wind" in the wide universe beyond our Oort cloud. Further, if our signals will even be distinguishable from the natural radio noise generated by the galaxy itself.