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Finding the Third Proportional to 1,244,190 and 2,729,436

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Solution

The third proportional to 1,244,190 and 2,729,436 is: 5,987,687.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244,190 : 2,729,436 = 2,729,436 : x
  2. Step 2: Convert to fraction form
    1,244,190/2,729,436 = 2,729,436/x
  3. Step 3: Cross multiply
    1,244,190x = 2,729,436 × 2,729,436
  4. Step 4: Simplify right side
    1,244,190x = 7,449,820,878,096
  5. Step 5: Solve for x
    x = 7,449,820,878,096/1,244,190
  6. Step 6: Final answer
    x = 5,987,687.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.