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Finding the Third Proportional to 393,229 and 860,051

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Solution

The third proportional to 393,229 and 860,051 is: 1,881,060.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,229 : 860,051 = 860,051 : x
  2. Step 2: Convert to fraction form
    393,229/860,051 = 860,051/x
  3. Step 3: Cross multiply
    393,229x = 860,051 × 860,051
  4. Step 4: Simplify right side
    393,229x = 739,687,722,601
  5. Step 5: Solve for x
    x = 739,687,722,601/393,229
  6. Step 6: Final answer
    x = 1,881,060.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.