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Finding the Third Proportional to 725,227 and 1,536,897

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Solution

The third proportional to 725,227 and 1,536,897 is: 3,256,983.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,227 : 1,536,897 = 1,536,897 : x
  2. Step 2: Convert to fraction form
    725,227/1,536,897 = 1,536,897/x
  3. Step 3: Cross multiply
    725,227x = 1,536,897 × 1,536,897
  4. Step 4: Simplify right side
    725,227x = 2,362,052,388,609
  5. Step 5: Solve for x
    x = 2,362,052,388,609/725,227
  6. Step 6: Final answer
    x = 3,256,983.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.