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Finding the Third Proportional to 457,083 and 984,406

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Solution

The third proportional to 457,083 and 984,406 is: 2,120,085.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,083 : 984,406 = 984,406 : x
  2. Step 2: Convert to fraction form
    457,083/984,406 = 984,406/x
  3. Step 3: Cross multiply
    457,083x = 984,406 × 984,406
  4. Step 4: Simplify right side
    457,083x = 969,055,172,836
  5. Step 5: Solve for x
    x = 969,055,172,836/457,083
  6. Step 6: Final answer
    x = 2,120,085.79

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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.