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Finding the Third Proportional to 751,198 and 1,771,517

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Solution

The third proportional to 751,198 and 1,771,517 is: 4,177,690.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,198 : 1,771,517 = 1,771,517 : x
  2. Step 2: Convert to fraction form
    751,198/1,771,517 = 1,771,517/x
  3. Step 3: Cross multiply
    751,198x = 1,771,517 × 1,771,517
  4. Step 4: Simplify right side
    751,198x = 3,138,272,481,289
  5. Step 5: Solve for x
    x = 3,138,272,481,289/751,198
  6. Step 6: Final answer
    x = 4,177,690.14

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.