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Finding the Third Proportional to 460,251 and 984,474

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Solution

The third proportional to 460,251 and 984,474 is: 2,105,783.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,251 : 984,474 = 984,474 : x
  2. Step 2: Convert to fraction form
    460,251/984,474 = 984,474/x
  3. Step 3: Cross multiply
    460,251x = 984,474 × 984,474
  4. Step 4: Simplify right side
    460,251x = 969,189,056,676
  5. Step 5: Solve for x
    x = 969,189,056,676/460,251
  6. Step 6: Final answer
    x = 2,105,783.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.