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Finding the Third Proportional to 3,211,950 and 4,729,149

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Solution

The third proportional to 3,211,950 and 4,729,149 is: 6,963,013.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211,950 : 4,729,149 = 4,729,149 : x
  2. Step 2: Convert to fraction form
    3,211,950/4,729,149 = 4,729,149/x
  3. Step 3: Cross multiply
    3,211,950x = 4,729,149 × 4,729,149
  4. Step 4: Simplify right side
    3,211,950x = 22,364,850,264,201
  5. Step 5: Solve for x
    x = 22,364,850,264,201/3,211,950
  6. Step 6: Final answer
    x = 6,963,013.21

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.