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Finding the Third Proportional to 2,072,638 and 4,460,204

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Solution

The third proportional to 2,072,638 and 4,460,204 is: 9,598,115.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072,638 : 4,460,204 = 4,460,204 : x
  2. Step 2: Convert to fraction form
    2,072,638/4,460,204 = 4,460,204/x
  3. Step 3: Cross multiply
    2,072,638x = 4,460,204 × 4,460,204
  4. Step 4: Simplify right side
    2,072,638x = 19,893,419,721,616
  5. Step 5: Solve for x
    x = 19,893,419,721,616/2,072,638
  6. Step 6: Final answer
    x = 9,598,115.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.