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Finding the Third Proportional to 682,437 and 1,001,497

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Solution

The third proportional to 682,437 and 1,001,497 is: 1,469,727.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,437 : 1,001,497 = 1,001,497 : x
  2. Step 2: Convert to fraction form
    682,437/1,001,497 = 1,001,497/x
  3. Step 3: Cross multiply
    682,437x = 1,001,497 × 1,001,497
  4. Step 4: Simplify right side
    682,437x = 1,002,996,241,009
  5. Step 5: Solve for x
    x = 1,002,996,241,009/682,437
  6. Step 6: Final answer
    x = 1,469,727.23

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.