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Finding the Third Proportional to 2,131,213.50 and 3,250,014

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Solution

The third proportional to 2,131,213.50 and 3,250,014 is: 4,956,139.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131,213.50 : 3,250,014 = 3,250,014 : x
  2. Step 2: Convert to fraction form
    2,131,213.50/3,250,014 = 3,250,014/x
  3. Step 3: Cross multiply
    2,131,213.50x = 3,250,014 × 3,250,014
  4. Step 4: Simplify right side
    2,131,213.50x = 10,562,591,000,196
  5. Step 5: Solve for x
    x = 10,562,591,000,196/2,131,213.50
  6. Step 6: Final answer
    x = 4,956,139.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.