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Finding the Third Proportional to 3,191,757.25 and 4,776,327.38

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Solution

The third proportional to 3,191,757.25 and 4,776,327.38 is: 7,147,568.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191,757.25 : 4,776,327.38 = 4,776,327.38 : x
  2. Step 2: Convert to fraction form
    3,191,757.25/4,776,327.38 = 4,776,327.38/x
  3. Step 3: Cross multiply
    3,191,757.25x = 4,776,327.38 × 4,776,327.38
  4. Step 4: Simplify right side
    3,191,757.25x = 22,813,303,193,174.39
  5. Step 5: Solve for x
    x = 22,813,303,193,174.39/3,191,757.25
  6. Step 6: Final answer
    x = 7,147,568.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.