The miracle that made Israel free was with a lamb....what the Bible calls a Passover lamb.
What the Passover lamb accomplished for the children of Israel by its death is a picture of what Jesus accomplished for us on the cross.
That's why John the Baptist called Jesus the Lamb of God in John 1:29. And in Revelation 13:8, Jesus was called 'the Lamb slain from the foundation of the world' He is our Passover Lamb.