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Finding the Third Proportional to 515,978 and 1,094,397

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Solution

The third proportional to 515,978 and 1,094,397 is: 2,321,232.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,978 : 1,094,397 = 1,094,397 : x
  2. Step 2: Convert to fraction form
    515,978/1,094,397 = 1,094,397/x
  3. Step 3: Cross multiply
    515,978x = 1,094,397 × 1,094,397
  4. Step 4: Simplify right side
    515,978x = 1,197,704,793,609
  5. Step 5: Solve for x
    x = 1,197,704,793,609/515,978
  6. Step 6: Final answer
    x = 2,321,232.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.