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Finding the Third Proportional to 539,044,438 and 1,103,624,612

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Solution

The third proportional to 539,044,438 and 1,103,624,612 is: 2,259,530,380.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,044,438 : 1,103,624,612 = 1,103,624,612 : x
  2. Step 2: Convert to fraction form
    539,044,438/1,103,624,612 = 1,103,624,612/x
  3. Step 3: Cross multiply
    539,044,438x = 1,103,624,612 × 1,103,624,612
  4. Step 4: Simplify right side
    539,044,438x = 1,217,987,284,212,150,528
  5. Step 5: Solve for x
    x = 1,217,987,284,212,150,528/539,044,438
  6. Step 6: Final answer
    x = 2,259,530,380.71

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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.