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Finding the Third Proportional to 797,092 and 1,691,384

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Solution

The third proportional to 797,092 and 1,691,384 is: 3,589,020.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,092 : 1,691,384 = 1,691,384 : x
  2. Step 2: Convert to fraction form
    797,092/1,691,384 = 1,691,384/x
  3. Step 3: Cross multiply
    797,092x = 1,691,384 × 1,691,384
  4. Step 4: Simplify right side
    797,092x = 2,860,779,835,456
  5. Step 5: Solve for x
    x = 2,860,779,835,456/797,092
  6. Step 6: Final answer
    x = 3,589,020.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.