Finding the Third Proportional to 648,470 and 1,035,946
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Solution
The third proportional to 648,470 and 1,035,946 is: 1,654,947.98
Step by Step Solution
- Step 1: Write the proportion equation
648,470 : 1,035,946 = 1,035,946 : x - Step 2: Convert to fraction form
648,470/1,035,946 = 1,035,946/x - Step 3: Cross multiply
648,470x = 1,035,946 × 1,035,946 - Step 4: Simplify right side
648,470x = 1,073,184,114,916 - Step 5: Solve for x
x = 1,073,184,114,916/648,470 - Step 6: Final answer
x = 1,654,947.98
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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.