push someone or something to someone or something
to propel someone or something to or as far as someone or something. Max pushed Lefty to the window and made him look out. I pushed the chair to the window.
push someone to something
to try to drive or force a person to do something. After the bankruptcy the board pushed the president to resign. We pushed her to reconsider, but her mind was made up.
push something to
to close or nearly close something, such as a door. The door is open a little. Please push it to. Todd came in and pushed the door to.