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Finding the Third Proportional to 442,717 and 978,463

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Solution

The third proportional to 442,717 and 978,463 is: 2,162,532.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,717 : 978,463 = 978,463 : x
  2. Step 2: Convert to fraction form
    442,717/978,463 = 978,463/x
  3. Step 3: Cross multiply
    442,717x = 978,463 × 978,463
  4. Step 4: Simplify right side
    442,717x = 957,389,842,369
  5. Step 5: Solve for x
    x = 957,389,842,369/442,717
  6. Step 6: Final answer
    x = 2,162,532.37

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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.