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Finding the Third Proportional to 3,906,144 and 6,036,192

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Solution

The third proportional to 3,906,144 and 6,036,192 is: 9,327,770.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906,144 : 6,036,192 = 6,036,192 : x
  2. Step 2: Convert to fraction form
    3,906,144/6,036,192 = 6,036,192/x
  3. Step 3: Cross multiply
    3,906,144x = 6,036,192 × 6,036,192
  4. Step 4: Simplify right side
    3,906,144x = 36,435,613,860,864
  5. Step 5: Solve for x
    x = 36,435,613,860,864/3,906,144
  6. Step 6: Final answer
    x = 9,327,770.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.