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Finding the Third Proportional to 3,741,745.50 and 4,135,405.50

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Solution

The third proportional to 3,741,745.50 and 4,135,405.50 is: 4,570,481.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,741,745.50 : 4,135,405.50 = 4,135,405.50 : x
  2. Step 2: Convert to fraction form
    3,741,745.50/4,135,405.50 = 4,135,405.50/x
  3. Step 3: Cross multiply
    3,741,745.50x = 4,135,405.50 × 4,135,405.50
  4. Step 4: Simplify right side
    3,741,745.50x = 17,101,578,649,430.25
  5. Step 5: Solve for x
    x = 17,101,578,649,430.25/3,741,745.50
  6. Step 6: Final answer
    x = 4,570,481.52

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.