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Finding the Third Proportional to 754,987.50 and 1,597,421.25

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Solution

The third proportional to 754,987.50 and 1,597,421.25 is: 3,379,863.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,987.50 : 1,597,421.25 = 1,597,421.25 : x
  2. Step 2: Convert to fraction form
    754,987.50/1,597,421.25 = 1,597,421.25/x
  3. Step 3: Cross multiply
    754,987.50x = 1,597,421.25 × 1,597,421.25
  4. Step 4: Simplify right side
    754,987.50x = 2,551,754,649,951.56
  5. Step 5: Solve for x
    x = 2,551,754,649,951.56/754,987.50
  6. Step 6: Final answer
    x = 3,379,863.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.