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Finding the Third Proportional to 1,491,713 and 3,201,170

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Solution

The third proportional to 1,491,713 and 3,201,170 is: 6,869,611.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491,713 : 3,201,170 = 3,201,170 : x
  2. Step 2: Convert to fraction form
    1,491,713/3,201,170 = 3,201,170/x
  3. Step 3: Cross multiply
    1,491,713x = 3,201,170 × 3,201,170
  4. Step 4: Simplify right side
    1,491,713x = 10,247,489,368,900
  5. Step 5: Solve for x
    x = 10,247,489,368,900/1,491,713
  6. Step 6: Final answer
    x = 6,869,611.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.