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Finding the Third Proportional to 490,923,972 and 762,253,056

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Solution

The third proportional to 490,923,972 and 762,253,056 is: 1,183,543,184.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,923,972 : 762,253,056 = 762,253,056 : x
  2. Step 2: Convert to fraction form
    490,923,972/762,253,056 = 762,253,056/x
  3. Step 3: Cross multiply
    490,923,972x = 762,253,056 × 762,253,056
  4. Step 4: Simplify right side
    490,923,972x = 581,029,721,381,339,136
  5. Step 5: Solve for x
    x = 581,029,721,381,339,136/490,923,972
  6. Step 6: Final answer
    x = 1,183,543,184.93

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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.