What is the ruling on someone who performs Hajj while still making up missed prayers, and is it permissible to make up a full day's prayers intermittently with the current prayers, while observing the correct order?

The Hajj performed by someone making up missed prayers (fawa'it) is valid. It is not a condition for the validity of Hajj to make up missed prayers, even though making up missed prayers is obligatory immediately, according to one's ability. In case of hardship, there is no blame in making up the missed prayers of a single day at different times. It is recommended to observe the order among the missed prayers, and one should make up the prayers of at least two days in a single day.