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Finding the Third Proportional to 598,682 and 1,330,227

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Solution

The third proportional to 598,682 and 1,330,227 is: 2,955,665.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,682 : 1,330,227 = 1,330,227 : x
  2. Step 2: Convert to fraction form
    598,682/1,330,227 = 1,330,227/x
  3. Step 3: Cross multiply
    598,682x = 1,330,227 × 1,330,227
  4. Step 4: Simplify right side
    598,682x = 1,769,503,871,529
  5. Step 5: Solve for x
    x = 1,769,503,871,529/598,682
  6. Step 6: Final answer
    x = 2,955,665.73

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.