Many among the wounded will never rise from their beds in the Houses of Healing, and have no one to spend their final moments with them.
'Many of the wounded here are beyond the reach of treatment and will not see the dawn. Some will not even see the coming hour. I am struck by inexpressible sorrow, ${PLAYER}, when I reflect how they will depart quietly with no one by their side, unless perhaps the harried healers as they make their rounds. The healers and I must expend our every precious moments with the living. But you...
'If you are as moved as I am by this thought, ${PLAYER}, perhaps you will go and spend some moments with the dying? My heart tells me that someone must.'
The wounded and dying can be found in the High Hall, House of Remedies, and House of Rest, on the Sixth Circle of Minas Tirith.
Find those wounded who do not have long in this world and stay with them while they are here.
Return to Aragorn in the High Hall of the Houses of Healing and tell him you have stayed with a number of dying men through their final moments.