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Finding the Third Proportional to 599,198 and 1,272,268

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Solution

The third proportional to 599,198 and 1,272,268 is: 2,701,387.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,198 : 1,272,268 = 1,272,268 : x
  2. Step 2: Convert to fraction form
    599,198/1,272,268 = 1,272,268/x
  3. Step 3: Cross multiply
    599,198x = 1,272,268 × 1,272,268
  4. Step 4: Simplify right side
    599,198x = 1,618,665,863,824
  5. Step 5: Solve for x
    x = 1,618,665,863,824/599,198
  6. Step 6: Final answer
    x = 2,701,387.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.