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Finding the Third Proportional to 3,194,149 and 4,786,302

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Solution

The third proportional to 3,194,149 and 4,786,302 is: 7,172,078.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194,149 : 4,786,302 = 4,786,302 : x
  2. Step 2: Convert to fraction form
    3,194,149/4,786,302 = 4,786,302/x
  3. Step 3: Cross multiply
    3,194,149x = 4,786,302 × 4,786,302
  4. Step 4: Simplify right side
    3,194,149x = 22,908,686,835,204
  5. Step 5: Solve for x
    x = 22,908,686,835,204/3,194,149
  6. Step 6: Final answer
    x = 7,172,078.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.