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Finding the Third Proportional to 457,891 and 1,007,134

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Solution

The third proportional to 457,891 and 1,007,134 is: 2,215,197.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,891 : 1,007,134 = 1,007,134 : x
  2. Step 2: Convert to fraction form
    457,891/1,007,134 = 1,007,134/x
  3. Step 3: Cross multiply
    457,891x = 1,007,134 × 1,007,134
  4. Step 4: Simplify right side
    457,891x = 1,014,318,893,956
  5. Step 5: Solve for x
    x = 1,014,318,893,956/457,891
  6. Step 6: Final answer
    x = 2,215,197.27

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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.