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Finding the Third Proportional to 534,918 and 1,154,099

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Solution

The third proportional to 534,918 and 1,154,099 is: 2,489,997.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,918 : 1,154,099 = 1,154,099 : x
  2. Step 2: Convert to fraction form
    534,918/1,154,099 = 1,154,099/x
  3. Step 3: Cross multiply
    534,918x = 1,154,099 × 1,154,099
  4. Step 4: Simplify right side
    534,918x = 1,331,944,501,801
  5. Step 5: Solve for x
    x = 1,331,944,501,801/534,918
  6. Step 6: Final answer
    x = 2,489,997.54

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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.