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Finding the Third Proportional to 815,319.75 and 1,729,297.50

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Solution

The third proportional to 815,319.75 and 1,729,297.50 is: 3,667,849.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,319.75 : 1,729,297.50 = 1,729,297.50 : x
  2. Step 2: Convert to fraction form
    815,319.75/1,729,297.50 = 1,729,297.50/x
  3. Step 3: Cross multiply
    815,319.75x = 1,729,297.50 × 1,729,297.50
  4. Step 4: Simplify right side
    815,319.75x = 2,990,469,843,506.25
  5. Step 5: Solve for x
    x = 2,990,469,843,506.25/815,319.75
  6. Step 6: Final answer
    x = 3,667,849.14

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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.