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Finding the Third Proportional to 815,769 and 1,146,744

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Solution

The third proportional to 815,769 and 1,146,744 is: 1,612,002.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,769 : 1,146,744 = 1,146,744 : x
  2. Step 2: Convert to fraction form
    815,769/1,146,744 = 1,146,744/x
  3. Step 3: Cross multiply
    815,769x = 1,146,744 × 1,146,744
  4. Step 4: Simplify right side
    815,769x = 1,315,021,801,536
  5. Step 5: Solve for x
    x = 1,315,021,801,536/815,769
  6. Step 6: Final answer
    x = 1,612,002.66

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.