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Finding the Third Proportional to 457,084.69 and 984,411.56

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Solution

The third proportional to 457,084.69 and 984,411.56 is: 2,120,101.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,084.69 : 984,411.56 = 984,411.56 : x
  2. Step 2: Convert to fraction form
    457,084.69/984,411.56 = 984,411.56/x
  3. Step 3: Cross multiply
    457,084.69x = 984,411.56 × 984,411.56
  4. Step 4: Simplify right side
    457,084.69x = 969,066,124,383.69
  5. Step 5: Solve for x
    x = 969,066,124,383.69/457,084.69
  6. Step 6: Final answer
    x = 2,120,101.92

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.