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Finding the Third Proportional to 3,209,814 and 4,986,135

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Solution

The third proportional to 3,209,814 and 4,986,135 is: 7,745,477.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209,814 : 4,986,135 = 4,986,135 : x
  2. Step 2: Convert to fraction form
    3,209,814/4,986,135 = 4,986,135/x
  3. Step 3: Cross multiply
    3,209,814x = 4,986,135 × 4,986,135
  4. Step 4: Simplify right side
    3,209,814x = 24,861,542,238,225
  5. Step 5: Solve for x
    x = 24,861,542,238,225/3,209,814
  6. Step 6: Final answer
    x = 7,745,477.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.