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Finding the Third Proportional to 2,121,986 and 4,135,684

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Solution

The third proportional to 2,121,986 and 4,135,684 is: 8,060,318.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121,986 : 4,135,684 = 4,135,684 : x
  2. Step 2: Convert to fraction form
    2,121,986/4,135,684 = 4,135,684/x
  3. Step 3: Cross multiply
    2,121,986x = 4,135,684 × 4,135,684
  4. Step 4: Simplify right side
    2,121,986x = 17,103,882,147,856
  5. Step 5: Solve for x
    x = 17,103,882,147,856/2,121,986
  6. Step 6: Final answer
    x = 8,060,318.09

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.