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Finding the Third Proportional to 1,196,867 and 2,618,950

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Solution

The third proportional to 1,196,867 and 2,618,950 is: 5,730,711.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196,867 : 2,618,950 = 2,618,950 : x
  2. Step 2: Convert to fraction form
    1,196,867/2,618,950 = 2,618,950/x
  3. Step 3: Cross multiply
    1,196,867x = 2,618,950 × 2,618,950
  4. Step 4: Simplify right side
    1,196,867x = 6,858,899,102,500
  5. Step 5: Solve for x
    x = 6,858,899,102,500/1,196,867
  6. Step 6: Final answer
    x = 5,730,711.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.