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Finding the Third Proportional to 469,267,250 and 709,940,711

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Solution

The third proportional to 469,267,250 and 709,940,711 is: 1,074,048,557.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,267,250 : 709,940,711 = 709,940,711 : x
  2. Step 2: Convert to fraction form
    469,267,250/709,940,711 = 709,940,711/x
  3. Step 3: Cross multiply
    469,267,250x = 709,940,711 × 709,940,711
  4. Step 4: Simplify right side
    469,267,250x = 504,015,813,135,185,536
  5. Step 5: Solve for x
    x = 504,015,813,135,185,536/469,267,250
  6. Step 6: Final answer
    x = 1,074,048,557.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.