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Finding the Third Proportional to 487,377 and 1,086,814.97

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Solution

The third proportional to 487,377 and 1,086,814.97 is: 2,423,517.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,377 : 1,086,814.97 = 1,086,814.97 : x
  2. Step 2: Convert to fraction form
    487,377/1,086,814.97 = 1,086,814.97/x
  3. Step 3: Cross multiply
    487,377x = 1,086,814.97 × 1,086,814.97
  4. Step 4: Simplify right side
    487,377x = 1,181,166,776,299.06
  5. Step 5: Solve for x
    x = 1,181,166,776,299.06/487,377
  6. Step 6: Final answer
    x = 2,423,517.68

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.