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Finding the Third Proportional to 664,060.25 and 1,451,987.50

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Solution

The third proportional to 664,060.25 and 1,451,987.50 is: 3,174,813.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,060.25 : 1,451,987.50 = 1,451,987.50 : x
  2. Step 2: Convert to fraction form
    664,060.25/1,451,987.50 = 1,451,987.50/x
  3. Step 3: Cross multiply
    664,060.25x = 1,451,987.50 × 1,451,987.50
  4. Step 4: Simplify right side
    664,060.25x = 2,108,267,700,156.25
  5. Step 5: Solve for x
    x = 2,108,267,700,156.25/664,060.25
  6. Step 6: Final answer
    x = 3,174,813.88

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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.