As others have pointed out, it is usual to add auxiliary fuel tanks for flights like this, putting the range well above the published maximum. Permission is required from the FAA for this since it also puts the gross weight above the rated maximum. The FAA evaluates the proposed modification and either issues or denies a waiver on that basis. Most light planes will lift a very substantial overload since rated maximum gross weight is based on what is safe for routine, day-to-day operation and not the maximum that could be handled on a one time basis.
“Most light planes will lift a very substantial overload since rated maximum gross weight is based on what is safe for routine, day-to-day operation and not the maximum that could be handled on a one time basis.”
A fact that has gotten many a pilot in deep doo doo ‘roundabout’ the first turn...