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Finding the Third Proportional to 3,906,146 and 6,036,195

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Solution

The third proportional to 3,906,146 and 6,036,195 is: 9,327,774.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906,146 : 6,036,195 = 6,036,195 : x
  2. Step 2: Convert to fraction form
    3,906,146/6,036,195 = 6,036,195/x
  3. Step 3: Cross multiply
    3,906,146x = 6,036,195 × 6,036,195
  4. Step 4: Simplify right side
    3,906,146x = 36,435,650,078,025
  5. Step 5: Solve for x
    x = 36,435,650,078,025/3,906,146
  6. Step 6: Final answer
    x = 9,327,774.76

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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.