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Finding the Third Proportional to 2,857,364 and 3,891,198

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Solution

The third proportional to 2,857,364 and 3,891,198 is: 5,299,087.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857,364 : 3,891,198 = 3,891,198 : x
  2. Step 2: Convert to fraction form
    2,857,364/3,891,198 = 3,891,198/x
  3. Step 3: Cross multiply
    2,857,364x = 3,891,198 × 3,891,198
  4. Step 4: Simplify right side
    2,857,364x = 15,141,421,875,204
  5. Step 5: Solve for x
    x = 15,141,421,875,204/2,857,364
  6. Step 6: Final answer
    x = 5,299,087.51

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.