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Finding the Third Proportional to 411,793.88 and 962,052.19

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Solution

The third proportional to 411,793.88 and 962,052.19 is: 2,247,591.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,793.88 : 962,052.19 = 962,052.19 : x
  2. Step 2: Convert to fraction form
    411,793.88/962,052.19 = 962,052.19/x
  3. Step 3: Cross multiply
    411,793.88x = 962,052.19 × 962,052.19
  4. Step 4: Simplify right side
    411,793.88x = 925,544,411,473.54
  5. Step 5: Solve for x
    x = 925,544,411,473.54/411,793.88
  6. Step 6: Final answer
    x = 2,247,591.50

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.