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Finding the Third Proportional to 1,244,497.50 and 2,714,249.25

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Solution

The third proportional to 1,244,497.50 and 2,714,249.25 is: 5,919,778.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244,497.50 : 2,714,249.25 = 2,714,249.25 : x
  2. Step 2: Convert to fraction form
    1,244,497.50/2,714,249.25 = 2,714,249.25/x
  3. Step 3: Cross multiply
    1,244,497.50x = 2,714,249.25 × 2,714,249.25
  4. Step 4: Simplify right side
    1,244,497.50x = 7,367,148,991,125.56
  5. Step 5: Solve for x
    x = 7,367,148,991,125.56/1,244,497.50
  6. Step 6: Final answer
    x = 5,919,778.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.