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Finding the Third Proportional to 2,245,690.50 and 3,451,824

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Solution

The third proportional to 2,245,690.50 and 3,451,824 is: 5,305,757.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,245,690.50 : 3,451,824 = 3,451,824 : x
  2. Step 2: Convert to fraction form
    2,245,690.50/3,451,824 = 3,451,824/x
  3. Step 3: Cross multiply
    2,245,690.50x = 3,451,824 × 3,451,824
  4. Step 4: Simplify right side
    2,245,690.50x = 11,915,088,926,976
  5. Step 5: Solve for x
    x = 11,915,088,926,976/2,245,690.50
  6. Step 6: Final answer
    x = 5,305,757.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.