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Finding the Third Proportional to 3,257,901 and 4,284,150.75

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Solution

The third proportional to 3,257,901 and 4,284,150.75 is: 5,633,672.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257,901 : 4,284,150.75 = 4,284,150.75 : x
  2. Step 2: Convert to fraction form
    3,257,901/4,284,150.75 = 4,284,150.75/x
  3. Step 3: Cross multiply
    3,257,901x = 4,284,150.75 × 4,284,150.75
  4. Step 4: Simplify right side
    3,257,901x = 18,353,947,648,725.56
  5. Step 5: Solve for x
    x = 18,353,947,648,725.56/3,257,901
  6. Step 6: Final answer
    x = 5,633,672.62

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.