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Finding the Third Proportional to 457,784 and 994,376

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Solution

The third proportional to 457,784 and 994,376 is: 2,159,934.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,784 : 994,376 = 994,376 : x
  2. Step 2: Convert to fraction form
    457,784/994,376 = 994,376/x
  3. Step 3: Cross multiply
    457,784x = 994,376 × 994,376
  4. Step 4: Simplify right side
    457,784x = 988,783,629,376
  5. Step 5: Solve for x
    x = 988,783,629,376/457,784
  6. Step 6: Final answer
    x = 2,159,934.88

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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.