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Finding the Third Proportional to 457,034 and 984,228

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Solution

The third proportional to 457,034 and 984,228 is: 2,119,546.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,034 : 984,228 = 984,228 : x
  2. Step 2: Convert to fraction form
    457,034/984,228 = 984,228/x
  3. Step 3: Cross multiply
    457,034x = 984,228 × 984,228
  4. Step 4: Simplify right side
    457,034x = 968,704,755,984
  5. Step 5: Solve for x
    x = 968,704,755,984/457,034
  6. Step 6: Final answer
    x = 2,119,546.37

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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.