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Finding the Third Proportional to 457,090 and 984,424

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Solution

The third proportional to 457,090 and 984,424 is: 2,120,130.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,090 : 984,424 = 984,424 : x
  2. Step 2: Convert to fraction form
    457,090/984,424 = 984,424/x
  3. Step 3: Cross multiply
    457,090x = 984,424 × 984,424
  4. Step 4: Simplify right side
    457,090x = 969,090,611,776
  5. Step 5: Solve for x
    x = 969,090,611,776/457,090
  6. Step 6: Final answer
    x = 2,120,130.85

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Why These Related Problems?

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