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Finding the Third Proportional to 457,304 and 1,005,112

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Solution

The third proportional to 457,304 and 1,005,112 is: 2,209,143.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,304 : 1,005,112 = 1,005,112 : x
  2. Step 2: Convert to fraction form
    457,304/1,005,112 = 1,005,112/x
  3. Step 3: Cross multiply
    457,304x = 1,005,112 × 1,005,112
  4. Step 4: Simplify right side
    457,304x = 1,010,250,132,544
  5. Step 5: Solve for x
    x = 1,010,250,132,544/457,304
  6. Step 6: Final answer
    x = 2,209,143.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.