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Finding the Third Proportional to 442,765 and 978,564

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Solution

The third proportional to 442,765 and 978,564 is: 2,162,744.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,765 : 978,564 = 978,564 : x
  2. Step 2: Convert to fraction form
    442,765/978,564 = 978,564/x
  3. Step 3: Cross multiply
    442,765x = 978,564 × 978,564
  4. Step 4: Simplify right side
    442,765x = 957,587,502,096
  5. Step 5: Solve for x
    x = 957,587,502,096/442,765
  6. Step 6: Final answer
    x = 2,162,744.35

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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.