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Finding the Third Proportional to 940,024 and 1,432,067

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Solution

The third proportional to 940,024 and 1,432,067 is: 2,181,663.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    940,024 : 1,432,067 = 1,432,067 : x
  2. Step 2: Convert to fraction form
    940,024/1,432,067 = 1,432,067/x
  3. Step 3: Cross multiply
    940,024x = 1,432,067 × 1,432,067
  4. Step 4: Simplify right side
    940,024x = 2,050,815,892,489
  5. Step 5: Solve for x
    x = 2,050,815,892,489/940,024
  6. Step 6: Final answer
    x = 2,181,663.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.