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Finding the Third Proportional to 383,869 and 826,058

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Solution

The third proportional to 383,869 and 826,058 is: 1,777,616.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,869 : 826,058 = 826,058 : x
  2. Step 2: Convert to fraction form
    383,869/826,058 = 826,058/x
  3. Step 3: Cross multiply
    383,869x = 826,058 × 826,058
  4. Step 4: Simplify right side
    383,869x = 682,371,819,364
  5. Step 5: Solve for x
    x = 682,371,819,364/383,869
  6. Step 6: Final answer
    x = 1,777,616.37

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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.