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Finding the Third Proportional to 1,253,065.50 and 2,731,110

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Solution

The third proportional to 1,253,065.50 and 2,731,110 is: 5,952,571.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253,065.50 : 2,731,110 = 2,731,110 : x
  2. Step 2: Convert to fraction form
    1,253,065.50/2,731,110 = 2,731,110/x
  3. Step 3: Cross multiply
    1,253,065.50x = 2,731,110 × 2,731,110
  4. Step 4: Simplify right side
    1,253,065.50x = 7,458,961,832,100
  5. Step 5: Solve for x
    x = 7,458,961,832,100/1,253,065.50
  6. Step 6: Final answer
    x = 5,952,571.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.