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Finding the Third Proportional to 442,761 and 978,552

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Solution

The third proportional to 442,761 and 978,552 is: 2,162,710.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,761 : 978,552 = 978,552 : x
  2. Step 2: Convert to fraction form
    442,761/978,552 = 978,552/x
  3. Step 3: Cross multiply
    442,761x = 978,552 × 978,552
  4. Step 4: Simplify right side
    442,761x = 957,564,016,704
  5. Step 5: Solve for x
    x = 957,564,016,704/442,761
  6. Step 6: Final answer
    x = 2,162,710.85

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.