<< do I really have to do that or is there anything else I can use? >>
Hmmmm... I guess you could do it ghetto-style and chop a few floppy or IDE connectors into lil slivers, or get some of those 3-pin pass-through adaptors that SVC Compucycle sells, then hold one over a stove burner till it's melty and squeeze the two pins closer together, then rearrange the mini-connector's wires and trim the tab off, or chop the 3-pin connector off and solder the wires onto the fan PCB. Those methods could be cheaper except for the cost of the pass-thru adaptor, but a lot more trouble. Methinks this connector problem is the reason a case of fans was only $40.