Six projects are currently progressing.
The doctor told me that I have advanced cancer.
The new drug made from Fugu extract has suppressed the progression of the disease.
When something advances and goes, it is moving forward. If you do this you will advance. You will progress.
This is a jukugo word, which usually means on'yomi readings from the kanji. If you know the readings of your kanji you'll know how to read this as well.