Can a 3A fire extinguisher handle a fire three times larger than a 1A fire extinguisher?

No, a 3A fire extinguisher cannot handle a fire three times larger than a 1A fire extinguisher. The ratings indicate the extinguisher's effectiveness against Class A fires, with the number representing the size of the fire it can extinguish. A 3A rating means it can handle a fire that is approximately three times the size of a 1A fire, but it does not imply it can extinguish a fire three times larger than its rated capability.