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Finding the Third Proportional to 3,907,651.50 and 5,902,311

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Solution

The third proportional to 3,907,651.50 and 5,902,311 is: 8,915,143.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907,651.50 : 5,902,311 = 5,902,311 : x
  2. Step 2: Convert to fraction form
    3,907,651.50/5,902,311 = 5,902,311/x
  3. Step 3: Cross multiply
    3,907,651.50x = 5,902,311 × 5,902,311
  4. Step 4: Simplify right side
    3,907,651.50x = 34,837,275,140,721
  5. Step 5: Solve for x
    x = 34,837,275,140,721/3,907,651.50
  6. Step 6: Final answer
    x = 8,915,143.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.