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Finding the Third Proportional to 502,889,098 and 751,236,612

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Solution

The third proportional to 502,889,098 and 751,236,612 is: 1,122,228,438.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,889,098 : 751,236,612 = 751,236,612 : x
  2. Step 2: Convert to fraction form
    502,889,098/751,236,612 = 751,236,612/x
  3. Step 3: Cross multiply
    502,889,098x = 751,236,612 × 751,236,612
  4. Step 4: Simplify right side
    502,889,098x = 564,356,447,209,238,528
  5. Step 5: Solve for x
    x = 564,356,447,209,238,528/502,889,098
  6. Step 6: Final answer
    x = 1,122,228,438.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.