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Finding the Third Proportional to 1,179,414 and 2,527,092

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Solution

The third proportional to 1,179,414 and 2,527,092 is: 5,414,717.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179,414 : 2,527,092 = 2,527,092 : x
  2. Step 2: Convert to fraction form
    1,179,414/2,527,092 = 2,527,092/x
  3. Step 3: Cross multiply
    1,179,414x = 2,527,092 × 2,527,092
  4. Step 4: Simplify right side
    1,179,414x = 6,386,193,976,464
  5. Step 5: Solve for x
    x = 6,386,193,976,464/1,179,414
  6. Step 6: Final answer
    x = 5,414,717.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.