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Finding the Third Proportional to 711,624 and 1,114,092

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Solution

The third proportional to 711,624 and 1,114,092 is: 1,744,180.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,624 : 1,114,092 = 1,114,092 : x
  2. Step 2: Convert to fraction form
    711,624/1,114,092 = 1,114,092/x
  3. Step 3: Cross multiply
    711,624x = 1,114,092 × 1,114,092
  4. Step 4: Simplify right side
    711,624x = 1,241,200,984,464
  5. Step 5: Solve for x
    x = 1,241,200,984,464/711,624
  6. Step 6: Final answer
    x = 1,744,180.89

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.