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Finding the Third Proportional to 3,900,723.75 and 5,177,216.25

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Solution

The third proportional to 3,900,723.75 and 5,177,216.25 is: 6,871,434.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900,723.75 : 5,177,216.25 = 5,177,216.25 : x
  2. Step 2: Convert to fraction form
    3,900,723.75/5,177,216.25 = 5,177,216.25/x
  3. Step 3: Cross multiply
    3,900,723.75x = 5,177,216.25 × 5,177,216.25
  4. Step 4: Simplify right side
    3,900,723.75x = 26,803,568,099,264.06
  5. Step 5: Solve for x
    x = 26,803,568,099,264.06/3,900,723.75
  6. Step 6: Final answer
    x = 6,871,434.59

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.