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Finding the Third Proportional to 442,682 and 978,398

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Solution

The third proportional to 442,682 and 978,398 is: 2,162,416.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,682 : 978,398 = 978,398 : x
  2. Step 2: Convert to fraction form
    442,682/978,398 = 978,398/x
  3. Step 3: Cross multiply
    442,682x = 978,398 × 978,398
  4. Step 4: Simplify right side
    442,682x = 957,262,646,404
  5. Step 5: Solve for x
    x = 957,262,646,404/442,682
  6. Step 6: Final answer
    x = 2,162,416.02

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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.