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Finding the Third Proportional to 721,062 and 1,669,227

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Solution

The third proportional to 721,062 and 1,669,227 is: 3,864,187.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,062 : 1,669,227 = 1,669,227 : x
  2. Step 2: Convert to fraction form
    721,062/1,669,227 = 1,669,227/x
  3. Step 3: Cross multiply
    721,062x = 1,669,227 × 1,669,227
  4. Step 4: Simplify right side
    721,062x = 2,786,318,777,529
  5. Step 5: Solve for x
    x = 2,786,318,777,529/721,062
  6. Step 6: Final answer
    x = 3,864,187.51

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.