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Finding the Third Proportional to 1,491,115.50 and 3,217,734

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Solution

The third proportional to 1,491,115.50 and 3,217,734 is: 6,943,668.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491,115.50 : 3,217,734 = 3,217,734 : x
  2. Step 2: Convert to fraction form
    1,491,115.50/3,217,734 = 3,217,734/x
  3. Step 3: Cross multiply
    1,491,115.50x = 3,217,734 × 3,217,734
  4. Step 4: Simplify right side
    1,491,115.50x = 10,353,812,094,756
  5. Step 5: Solve for x
    x = 10,353,812,094,756/1,491,115.50
  6. Step 6: Final answer
    x = 6,943,668.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.