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Finding the Third Proportional to 862,494,524 and 1,408,226,862

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Solution

The third proportional to 862,494,524 and 1,408,226,862 is: 2,299,264,331.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,494,524 : 1,408,226,862 = 1,408,226,862 : x
  2. Step 2: Convert to fraction form
    862,494,524/1,408,226,862 = 1,408,226,862/x
  3. Step 3: Cross multiply
    862,494,524x = 1,408,226,862 × 1,408,226,862
  4. Step 4: Simplify right side
    862,494,524x = 1,983,102,894,858,366,976
  5. Step 5: Solve for x
    x = 1,983,102,894,858,366,976/862,494,524
  6. Step 6: Final answer
    x = 2,299,264,331.17

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.