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Finding the Third Proportional to 461,761,582 and 693,250,305

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Solution

The third proportional to 461,761,582 and 693,250,305 is: 1,040,788,155.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,761,582 : 693,250,305 = 693,250,305 : x
  2. Step 2: Convert to fraction form
    461,761,582/693,250,305 = 693,250,305/x
  3. Step 3: Cross multiply
    461,761,582x = 693,250,305 × 693,250,305
  4. Step 4: Simplify right side
    461,761,582x = 480,595,985,382,593,024
  5. Step 5: Solve for x
    x = 480,595,985,382,593,024/461,761,582
  6. Step 6: Final answer
    x = 1,040,788,155.87

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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.