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Finding the Third Proportional to 1,188,072.56 and 2,555,190.56

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Solution

The third proportional to 1,188,072.56 and 2,555,190.56 is: 5,495,454.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188,072.56 : 2,555,190.56 = 2,555,190.56 : x
  2. Step 2: Convert to fraction form
    1,188,072.56/2,555,190.56 = 2,555,190.56/x
  3. Step 3: Cross multiply
    1,188,072.56x = 2,555,190.56 × 2,555,190.56
  4. Step 4: Simplify right side
    1,188,072.56x = 6,528,998,810,689.07
  5. Step 5: Solve for x
    x = 6,528,998,810,689.07/1,188,072.56
  6. Step 6: Final answer
    x = 5,495,454.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.