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Finding the Third Proportional to 631,299 and 1,351,231

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Solution

The third proportional to 631,299 and 1,351,231 is: 2,892,171.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,299 : 1,351,231 = 1,351,231 : x
  2. Step 2: Convert to fraction form
    631,299/1,351,231 = 1,351,231/x
  3. Step 3: Cross multiply
    631,299x = 1,351,231 × 1,351,231
  4. Step 4: Simplify right side
    631,299x = 1,825,825,215,361
  5. Step 5: Solve for x
    x = 1,825,825,215,361/631,299
  6. Step 6: Final answer
    x = 2,892,171.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.