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Finding the Third Proportional to 490,923,974 and 762,253,057

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Solution

The third proportional to 490,923,974 and 762,253,057 is: 1,183,543,183.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,923,974 : 762,253,057 = 762,253,057 : x
  2. Step 2: Convert to fraction form
    490,923,974/762,253,057 = 762,253,057/x
  3. Step 3: Cross multiply
    490,923,974x = 762,253,057 × 762,253,057
  4. Step 4: Simplify right side
    490,923,974x = 581,029,722,905,845,248
  5. Step 5: Solve for x
    x = 581,029,722,905,845,248/490,923,974
  6. Step 6: Final answer
    x = 1,183,543,183.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.