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Finding the Third Proportional to 442,714 and 978,458

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Solution

The third proportional to 442,714 and 978,458 is: 2,162,524.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,714 : 978,458 = 978,458 : x
  2. Step 2: Convert to fraction form
    442,714/978,458 = 978,458/x
  3. Step 3: Cross multiply
    442,714x = 978,458 × 978,458
  4. Step 4: Simplify right side
    442,714x = 957,380,057,764
  5. Step 5: Solve for x
    x = 957,380,057,764/442,714
  6. Step 6: Final answer
    x = 2,162,524.92

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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.