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It's the same in the Catholic Church. The person is alive, however. Now it's called:
Anointing of the Sick (Catholic Church), from Wikipedia:
In the past, the usual name of the sacrament in official documents of the Catholic Church was Extreme Unction (meaning, Final Anointing), a name attached to it when it was administered, as one of the "Last Rites".
That doesn't have anything to do with cremation, though, but it IS our last Sacrament before we meet our Maker.
Seven Sacrements: Baptism, Holy Eucharist, Confirmation, Reconciliation, Marriage, Holy Orders and Annointing of the sick.
And, you DO remember your cathechism. :o)
What is a sacrament?
It is a religious ceremony or act of the Christian Church that is regarded as an outward and visible sign of inward and spiritual divine grace, in particular.
We have the same sacraments and others besides. In addition to the seven great Mysteries most Orthodox regard as lesser sacraments...
* The churching of women after child birth.
* The monastic profession/vows
* The funeral service of the Church
* The anointing of an Orthodox Monarch
* The exorcism of evil spirits
* The Great Blessing of Waters on Theophany
There others that sometimes get mentioned.