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Finding the Third Proportional to 1,244,182.50 and 2,729,421

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Solution

The third proportional to 1,244,182.50 and 2,729,421 is: 5,987,657.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244,182.50 : 2,729,421 = 2,729,421 : x
  2. Step 2: Convert to fraction form
    1,244,182.50/2,729,421 = 2,729,421/x
  3. Step 3: Cross multiply
    1,244,182.50x = 2,729,421 × 2,729,421
  4. Step 4: Simplify right side
    1,244,182.50x = 7,449,738,995,241
  5. Step 5: Solve for x
    x = 7,449,738,995,241/1,244,182.50
  6. Step 6: Final answer
    x = 5,987,657.76

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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.