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Finding the Third Proportional to 292,472,892 and 635,292,790

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Solution

The third proportional to 292,472,892 and 635,292,790 is: 1,379,946,449.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,472,892 : 635,292,790 = 635,292,790 : x
  2. Step 2: Convert to fraction form
    292,472,892/635,292,790 = 635,292,790/x
  3. Step 3: Cross multiply
    292,472,892x = 635,292,790 × 635,292,790
  4. Step 4: Simplify right side
    292,472,892x = 403,596,929,025,984,128
  5. Step 5: Solve for x
    x = 403,596,929,025,984,128/292,472,892
  6. Step 6: Final answer
    x = 1,379,946,449.96

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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.