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Finding the Third Proportional to 2,568,919.50 and 5,646,330

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Solution

The third proportional to 2,568,919.50 and 5,646,330 is: 12,410,292.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568,919.50 : 5,646,330 = 5,646,330 : x
  2. Step 2: Convert to fraction form
    2,568,919.50/5,646,330 = 5,646,330/x
  3. Step 3: Cross multiply
    2,568,919.50x = 5,646,330 × 5,646,330
  4. Step 4: Simplify right side
    2,568,919.50x = 31,881,042,468,900
  5. Step 5: Solve for x
    x = 31,881,042,468,900/2,568,919.50
  6. Step 6: Final answer
    x = 12,410,292.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.