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Finding the Third Proportional to 674,304 and 1,434,422

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Solution

The third proportional to 674,304 and 1,434,422 is: 3,051,392.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,304 : 1,434,422 = 1,434,422 : x
  2. Step 2: Convert to fraction form
    674,304/1,434,422 = 1,434,422/x
  3. Step 3: Cross multiply
    674,304x = 1,434,422 × 1,434,422
  4. Step 4: Simplify right side
    674,304x = 2,057,566,474,084
  5. Step 5: Solve for x
    x = 2,057,566,474,084/674,304
  6. Step 6: Final answer
    x = 3,051,392.95

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.