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Finding the Third Proportional to 449,668 and 978,632

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Solution

The third proportional to 449,668 and 978,632 is: 2,129,839.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,668 : 978,632 = 978,632 : x
  2. Step 2: Convert to fraction form
    449,668/978,632 = 978,632/x
  3. Step 3: Cross multiply
    449,668x = 978,632 × 978,632
  4. Step 4: Simplify right side
    449,668x = 957,720,591,424
  5. Step 5: Solve for x
    x = 957,720,591,424/449,668
  6. Step 6: Final answer
    x = 2,129,839.33

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.