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Finding the Third Proportional to 731,680 and 1,092,012

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Solution

The third proportional to 731,680 and 1,092,012 is: 1,629,797.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,680 : 1,092,012 = 1,092,012 : x
  2. Step 2: Convert to fraction form
    731,680/1,092,012 = 1,092,012/x
  3. Step 3: Cross multiply
    731,680x = 1,092,012 × 1,092,012
  4. Step 4: Simplify right side
    731,680x = 1,192,490,208,144
  5. Step 5: Solve for x
    x = 1,192,490,208,144/731,680
  6. Step 6: Final answer
    x = 1,629,797.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.