Rather than our devotions being broken in two segments of Bible study/reading and a time of prayer, meditation can be a means of moving from Scripture into Prayer, connecting the two and leading us to a deeper devotional experience with Christ.
Meditating over the text will drive it from our mind to our hearts. I think it was Luther who said "Meditate until the Holy Spirit ministers, then write everything down." It is a means of grace by which we can know Christ better.