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Finding the Third Proportional to 457,947 and 992,166

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Solution

The third proportional to 457,947 and 992,166 is: 2,149,579.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,947 : 992,166 = 992,166 : x
  2. Step 2: Convert to fraction form
    457,947/992,166 = 992,166/x
  3. Step 3: Cross multiply
    457,947x = 992,166 × 992,166
  4. Step 4: Simplify right side
    457,947x = 984,393,371,556
  5. Step 5: Solve for x
    x = 984,393,371,556/457,947
  6. Step 6: Final answer
    x = 2,149,579.26

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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.