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Finding the Third Proportional to 408,112 and 886,116.50

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Solution

The third proportional to 408,112 and 886,116.50 is: 1,923,987.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,112 : 886,116.50 = 886,116.50 : x
  2. Step 2: Convert to fraction form
    408,112/886,116.50 = 886,116.50/x
  3. Step 3: Cross multiply
    408,112x = 886,116.50 × 886,116.50
  4. Step 4: Simplify right side
    408,112x = 785,202,451,572.25
  5. Step 5: Solve for x
    x = 785,202,451,572.25/408,112
  6. Step 6: Final answer
    x = 1,923,987.66

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.