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Finding the Third Proportional to 2,163,204 and 3,302,013

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Solution

The third proportional to 2,163,204 and 3,302,013 is: 5,040,342.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163,204 : 3,302,013 = 3,302,013 : x
  2. Step 2: Convert to fraction form
    2,163,204/3,302,013 = 3,302,013/x
  3. Step 3: Cross multiply
    2,163,204x = 3,302,013 × 3,302,013
  4. Step 4: Simplify right side
    2,163,204x = 10,903,289,852,169
  5. Step 5: Solve for x
    x = 10,903,289,852,169/2,163,204
  6. Step 6: Final answer
    x = 5,040,342.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.