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Finding the Third Proportional to 816,099 and 1,224,150

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Solution

The third proportional to 816,099 and 1,224,150 is: 1,836,227.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,099 : 1,224,150 = 1,224,150 : x
  2. Step 2: Convert to fraction form
    816,099/1,224,150 = 1,224,150/x
  3. Step 3: Cross multiply
    816,099x = 1,224,150 × 1,224,150
  4. Step 4: Simplify right side
    816,099x = 1,498,543,222,500
  5. Step 5: Solve for x
    x = 1,498,543,222,500/816,099
  6. Step 6: Final answer
    x = 1,836,227.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.