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Finding the Third Proportional to 1,229,206.50 and 2,682,567

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Solution

The third proportional to 1,229,206.50 and 2,682,567 is: 5,854,317.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229,206.50 : 2,682,567 = 2,682,567 : x
  2. Step 2: Convert to fraction form
    1,229,206.50/2,682,567 = 2,682,567/x
  3. Step 3: Cross multiply
    1,229,206.50x = 2,682,567 × 2,682,567
  4. Step 4: Simplify right side
    1,229,206.50x = 7,196,165,709,489
  5. Step 5: Solve for x
    x = 7,196,165,709,489/1,229,206.50
  6. Step 6: Final answer
    x = 5,854,317.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.