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Finding the Third Proportional to 715,272 and 1,080,198

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Solution

The third proportional to 715,272 and 1,080,198 is: 1,631,306.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,272 : 1,080,198 = 1,080,198 : x
  2. Step 2: Convert to fraction form
    715,272/1,080,198 = 1,080,198/x
  3. Step 3: Cross multiply
    715,272x = 1,080,198 × 1,080,198
  4. Step 4: Simplify right side
    715,272x = 1,166,827,719,204
  5. Step 5: Solve for x
    x = 1,166,827,719,204/715,272
  6. Step 6: Final answer
    x = 1,631,306.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.