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Finding the Third Proportional to 2,467,216.50 and 3,700,824

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Solution

The third proportional to 2,467,216.50 and 3,700,824 is: 5,551,234.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467,216.50 : 3,700,824 = 3,700,824 : x
  2. Step 2: Convert to fraction form
    2,467,216.50/3,700,824 = 3,700,824/x
  3. Step 3: Cross multiply
    2,467,216.50x = 3,700,824 × 3,700,824
  4. Step 4: Simplify right side
    2,467,216.50x = 13,696,098,278,976
  5. Step 5: Solve for x
    x = 13,696,098,278,976/2,467,216.50
  6. Step 6: Final answer
    x = 5,551,234.88

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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.