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Finding the Third Proportional to 457,782 and 994,372

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Solution

The third proportional to 457,782 and 994,372 is: 2,159,926.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,782 : 994,372 = 994,372 : x
  2. Step 2: Convert to fraction form
    457,782/994,372 = 994,372/x
  3. Step 3: Cross multiply
    457,782x = 994,372 × 994,372
  4. Step 4: Simplify right side
    457,782x = 988,775,674,384
  5. Step 5: Solve for x
    x = 988,775,674,384/457,782
  6. Step 6: Final answer
    x = 2,159,926.94

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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.