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Finding the Third Proportional to 457,917 and 994,650

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Solution

The third proportional to 457,917 and 994,650 is: 2,160,497.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,917 : 994,650 = 994,650 : x
  2. Step 2: Convert to fraction form
    457,917/994,650 = 994,650/x
  3. Step 3: Cross multiply
    457,917x = 994,650 × 994,650
  4. Step 4: Simplify right side
    457,917x = 989,328,622,500
  5. Step 5: Solve for x
    x = 989,328,622,500/457,917
  6. Step 6: Final answer
    x = 2,160,497.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.