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Finding the Third Proportional to 442,767 and 978,568

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Solution

The third proportional to 442,767 and 978,568 is: 2,162,752.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,767 : 978,568 = 978,568 : x
  2. Step 2: Convert to fraction form
    442,767/978,568 = 978,568/x
  3. Step 3: Cross multiply
    442,767x = 978,568 × 978,568
  4. Step 4: Simplify right side
    442,767x = 957,595,330,624
  5. Step 5: Solve for x
    x = 957,595,330,624/442,767
  6. Step 6: Final answer
    x = 2,162,752.26

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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.