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Finding the Third Proportional to 438,974,781 and 597,910,518

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Solution

The third proportional to 438,974,781 and 597,910,518 is: 814,390,719.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,974,781 : 597,910,518 = 597,910,518 : x
  2. Step 2: Convert to fraction form
    438,974,781/597,910,518 = 597,910,518/x
  3. Step 3: Cross multiply
    438,974,781x = 597,910,518 × 597,910,518
  4. Step 4: Simplify right side
    438,974,781x = 357,496,987,535,028,352
  5. Step 5: Solve for x
    x = 357,496,987,535,028,352/438,974,781
  6. Step 6: Final answer
    x = 814,390,719.03

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.