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Finding the Third Proportional to 3,451,971.75 and 5,177,958

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Solution

The third proportional to 3,451,971.75 and 5,177,958 is: 7,766,937.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,451,971.75 : 5,177,958 = 5,177,958 : x
  2. Step 2: Convert to fraction form
    3,451,971.75/5,177,958 = 5,177,958/x
  3. Step 3: Cross multiply
    3,451,971.75x = 5,177,958 × 5,177,958
  4. Step 4: Simplify right side
    3,451,971.75x = 26,811,249,049,764
  5. Step 5: Solve for x
    x = 26,811,249,049,764/3,451,971.75
  6. Step 6: Final answer
    x = 7,766,937.56

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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.