You've specified that the two forces act horizontally, but you've said nothing about
how they're arranged relative to the string.
-- Are the forces pulling in opposite directions on opposite ends of the string ?
-- Are the forces both acting at the same end of the string, with the other end
tied to a wall ?
-- Are the forces in the same plane ? If so, is the string also in that plane ?
I can give you configurations in which the forces are horizontal, and the tension
in the string is anything you want between zero and 2,020 N.
In fact, if both ends of the string are fastened to walls, and the horizontal forces
push on the center of the string and perpendicular to it, then you can create any
tension you want in the string, up to the breaking limit of the walls.