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Finding the Third Proportional to 613,497 and 1,257,531

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Solution

The third proportional to 613,497 and 1,257,531 is: 2,577,655.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,497 : 1,257,531 = 1,257,531 : x
  2. Step 2: Convert to fraction form
    613,497/1,257,531 = 1,257,531/x
  3. Step 3: Cross multiply
    613,497x = 1,257,531 × 1,257,531
  4. Step 4: Simplify right side
    613,497x = 1,581,384,215,961
  5. Step 5: Solve for x
    x = 1,581,384,215,961/613,497
  6. Step 6: Final answer
    x = 2,577,655.99

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.