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Finding the Third Proportional to 631,214 and 887,847

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Solution

The third proportional to 631,214 and 887,847 is: 1,248,819.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,214 : 887,847 = 887,847 : x
  2. Step 2: Convert to fraction form
    631,214/887,847 = 887,847/x
  3. Step 3: Cross multiply
    631,214x = 887,847 × 887,847
  4. Step 4: Simplify right side
    631,214x = 788,272,295,409
  5. Step 5: Solve for x
    x = 788,272,295,409/631,214
  6. Step 6: Final answer
    x = 1,248,819.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.