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Finding the Third Proportional to 588,884 and 1,271,016

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Solution

The third proportional to 588,884 and 1,271,016 is: 2,743,293.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,884 : 1,271,016 = 1,271,016 : x
  2. Step 2: Convert to fraction form
    588,884/1,271,016 = 1,271,016/x
  3. Step 3: Cross multiply
    588,884x = 1,271,016 × 1,271,016
  4. Step 4: Simplify right side
    588,884x = 1,615,481,672,256
  5. Step 5: Solve for x
    x = 1,615,481,672,256/588,884
  6. Step 6: Final answer
    x = 2,743,293.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.