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Finding the Third Proportional to 515,892 and 797,166

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Solution

The third proportional to 515,892 and 797,166 is: 1,231,795.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,892 : 797,166 = 797,166 : x
  2. Step 2: Convert to fraction form
    515,892/797,166 = 797,166/x
  3. Step 3: Cross multiply
    515,892x = 797,166 × 797,166
  4. Step 4: Simplify right side
    515,892x = 635,473,631,556
  5. Step 5: Solve for x
    x = 635,473,631,556/515,892
  6. Step 6: Final answer
    x = 1,231,795.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.