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Finding the Third Proportional to 461,761,578 and 693,250,299

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Solution

The third proportional to 461,761,578 and 693,250,299 is: 1,040,788,146.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,761,578 : 693,250,299 = 693,250,299 : x
  2. Step 2: Convert to fraction form
    461,761,578/693,250,299 = 693,250,299/x
  3. Step 3: Cross multiply
    461,761,578x = 693,250,299 × 693,250,299
  4. Step 4: Simplify right side
    461,761,578x = 480,595,977,063,589,376
  5. Step 5: Solve for x
    x = 480,595,977,063,589,376/461,761,578
  6. Step 6: Final answer
    x = 1,040,788,146.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.