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This paper describes the modulation of tunneling probabilities in molecular junctions by switching one of two parallel intramolecular pathways. A linearly-conjugated molecular wire provides a rigid framework that allows a second, cross-conjugated pathway to be effectively switched on and off by protonation, affecting the total conductance of the junction. This approach works because a traversing electron interacts with the entire quantum-mechanical circuit simultaneously; Kirchhoff's rules do not apply. We prove this concept by comparing the conductances of