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Finding the Third Proportional to 442,719 and 978,467

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Solution

The third proportional to 442,719 and 978,467 is: 2,162,540.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,719 : 978,467 = 978,467 : x
  2. Step 2: Convert to fraction form
    442,719/978,467 = 978,467/x
  3. Step 3: Cross multiply
    442,719x = 978,467 × 978,467
  4. Step 4: Simplify right side
    442,719x = 957,397,670,089
  5. Step 5: Solve for x
    x = 957,397,670,089/442,719
  6. Step 6: Final answer
    x = 2,162,540.28

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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.