As a Buddhist I am practice meditation and not prayer.
But i have a question about prayer.
In your understanding do meditation and prayer have the same result if done correctly?
I would say all prayer is a form of focused meditation. The person puts before themselves a mental image of its "recipient" or destination, be that God, Avalokiteshvara, the Universe, Goodness, etc. Depending on how "prayerful" one is, say far beyond "asking" prayers and such, to ones of devotion and self-surrender, then it becomes the deeper form which is itself very much meditation. Deep states of meditation can create great depth of prayer, where all that you are is surrendered. That is the path of transcending the ego, which is the true goal of meditation.
Even meditation, as is popularly practiced, can likewise be "shallow", like the typical petitionary prayer. They meditate to "relax" or just "feel good", and other such common self-interested goals. While that has value, the true goal of meditation is to move beyond yourself into the All, or God, or Emptiness, etc. So both prayer and meditation are really one thing, just different levels and forms, from "feel good", to Emptiness.