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Finding the Third Proportional to 461,761,580 and 693,250,302

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Solution

The third proportional to 461,761,580 and 693,250,302 is: 1,040,788,151.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,761,580 : 693,250,302 = 693,250,302 : x
  2. Step 2: Convert to fraction form
    461,761,580/693,250,302 = 693,250,302/x
  3. Step 3: Cross multiply
    461,761,580x = 693,250,302 × 693,250,302
  4. Step 4: Simplify right side
    461,761,580x = 480,595,981,223,091,200
  5. Step 5: Solve for x
    x = 480,595,981,223,091,200/461,761,580
  6. Step 6: Final answer
    x = 1,040,788,151.37

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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.