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Finding the Third Proportional to 1,198,644 and 2,618,175

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Solution

The third proportional to 1,198,644 and 2,618,175 is: 5,718,829.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198,644 : 2,618,175 = 2,618,175 : x
  2. Step 2: Convert to fraction form
    1,198,644/2,618,175 = 2,618,175/x
  3. Step 3: Cross multiply
    1,198,644x = 2,618,175 × 2,618,175
  4. Step 4: Simplify right side
    1,198,644x = 6,854,840,330,625
  5. Step 5: Solve for x
    x = 6,854,840,330,625/1,198,644
  6. Step 6: Final answer
    x = 5,718,829.22

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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.