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Finding the Third Proportional to 500,531 and 1,181,048

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Solution

The third proportional to 500,531 and 1,181,048 is: 2,786,789.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,531 : 1,181,048 = 1,181,048 : x
  2. Step 2: Convert to fraction form
    500,531/1,181,048 = 1,181,048/x
  3. Step 3: Cross multiply
    500,531x = 1,181,048 × 1,181,048
  4. Step 4: Simplify right side
    500,531x = 1,394,874,378,304
  5. Step 5: Solve for x
    x = 1,394,874,378,304/500,531
  6. Step 6: Final answer
    x = 2,786,789.19

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.