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Finding the Third Proportional to 1,540,309.50 and 3,434,793.75

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Solution

The third proportional to 1,540,309.50 and 3,434,793.75 is: 7,659,375.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540,309.50 : 3,434,793.75 = 3,434,793.75 : x
  2. Step 2: Convert to fraction form
    1,540,309.50/3,434,793.75 = 3,434,793.75/x
  3. Step 3: Cross multiply
    1,540,309.50x = 3,434,793.75 × 3,434,793.75
  4. Step 4: Simplify right side
    1,540,309.50x = 11,797,808,105,039.06
  5. Step 5: Solve for x
    x = 11,797,808,105,039.06/1,540,309.50
  6. Step 6: Final answer
    x = 7,659,375.02

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.