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Finding the Third Proportional to 538,387,454 and 1,171,253,306

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Solution

The third proportional to 538,387,454 and 1,171,253,306 is: 2,548,042,857.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,387,454 : 1,171,253,306 = 1,171,253,306 : x
  2. Step 2: Convert to fraction form
    538,387,454/1,171,253,306 = 1,171,253,306/x
  3. Step 3: Cross multiply
    538,387,454x = 1,171,253,306 × 1,171,253,306
  4. Step 4: Simplify right side
    538,387,454x = 1,371,834,306,815,929,600
  5. Step 5: Solve for x
    x = 1,371,834,306,815,929,600/538,387,454
  6. Step 6: Final answer
    x = 2,548,042,857.66

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.