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Finding the Third Proportional to 1,074,217.50 and 2,259,027

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Solution

The third proportional to 1,074,217.50 and 2,259,027 is: 4,750,623.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074,217.50 : 2,259,027 = 2,259,027 : x
  2. Step 2: Convert to fraction form
    1,074,217.50/2,259,027 = 2,259,027/x
  3. Step 3: Cross multiply
    1,074,217.50x = 2,259,027 × 2,259,027
  4. Step 4: Simplify right side
    1,074,217.50x = 5,103,202,986,729
  5. Step 5: Solve for x
    x = 5,103,202,986,729/1,074,217.50
  6. Step 6: Final answer
    x = 4,750,623.58

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.