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Finding the Third Proportional to 3,971,626.50 and 5,952,105

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Solution

The third proportional to 3,971,626.50 and 5,952,105 is: 8,920,162.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971,626.50 : 5,952,105 = 5,952,105 : x
  2. Step 2: Convert to fraction form
    3,971,626.50/5,952,105 = 5,952,105/x
  3. Step 3: Cross multiply
    3,971,626.50x = 5,952,105 × 5,952,105
  4. Step 4: Simplify right side
    3,971,626.50x = 35,427,553,931,025
  5. Step 5: Solve for x
    x = 35,427,553,931,025/3,971,626.50
  6. Step 6: Final answer
    x = 8,920,162.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.