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Finding the Third Proportional to 619,727 and 1,313,866

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Solution

The third proportional to 619,727 and 1,313,866 is: 2,785,490.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,727 : 1,313,866 = 1,313,866 : x
  2. Step 2: Convert to fraction form
    619,727/1,313,866 = 1,313,866/x
  3. Step 3: Cross multiply
    619,727x = 1,313,866 × 1,313,866
  4. Step 4: Simplify right side
    619,727x = 1,726,243,865,956
  5. Step 5: Solve for x
    x = 1,726,243,865,956/619,727
  6. Step 6: Final answer
    x = 2,785,490.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.