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Finding the Third Proportional to 592,905,662 and 1,287,876,696

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Solution

The third proportional to 592,905,662 and 1,287,876,696 is: 2,797,454,115.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,905,662 : 1,287,876,696 = 1,287,876,696 : x
  2. Step 2: Convert to fraction form
    592,905,662/1,287,876,696 = 1,287,876,696/x
  3. Step 3: Cross multiply
    592,905,662x = 1,287,876,696 × 1,287,876,696
  4. Step 4: Simplify right side
    592,905,662x = 1,658,626,384,099,876,352
  5. Step 5: Solve for x
    x = 1,658,626,384,099,876,352/592,905,662
  6. Step 6: Final answer
    x = 2,797,454,115.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.