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MTV veejay LaLa Vazquez and her fiancé, Denver Nuggets forward Carmelo Anthony, welcomed their first child Wednesday afternoon, Vazquez's rep, Jack Ketsoyan, confirms exclusively to PEOPLE.

The boy, Kiyan, weighed in at 5 lbs., 9 oz., and measured 18½ in. long – with plenty of time to catch up to his 6'8" father.

"The baby is absolutely gorgeous and I am so excited to have seen my first grandchild!" grandmother Carmen Vazquez tells PEOPLE, adding that baby and mom are "doing fine."

On Tuesday following the Nuggets' 106-91 win over the New Orleans Hornets, Anthony told reporters that Vazquez was to have labor induced that night. "The anticipation is always high this time when you're about to have a baby and about to be a father," he confessed to the Rocky Mountain News before heading to the Denver-area hospital.

The couple, who got engaged on Christmas Day 2004, have said they plan to wed following the birth. They announced to PEOPLE in September that they were expecting a baby.

Vazquez, 27, is a veejay for MTV shows including TRL, Spring Breakdown and Direct Effect. Anthony, 22, won a bronze medal as a member of the U.S. Olympic basketball team in 2004.