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Finding the Third Proportional to 597,123 and 878,067

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Solution

The third proportional to 597,123 and 878,067 is: 1,291,194.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,123 : 878,067 = 878,067 : x
  2. Step 2: Convert to fraction form
    597,123/878,067 = 878,067/x
  3. Step 3: Cross multiply
    597,123x = 878,067 × 878,067
  4. Step 4: Simplify right side
    597,123x = 771,001,656,489
  5. Step 5: Solve for x
    x = 771,001,656,489/597,123
  6. Step 6: Final answer
    x = 1,291,194.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.