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Finding the Third Proportional to 376,065 and 826,542

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Solution

The third proportional to 376,065 and 826,542 is: 1,816,631.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,065 : 826,542 = 826,542 : x
  2. Step 2: Convert to fraction form
    376,065/826,542 = 826,542/x
  3. Step 3: Cross multiply
    376,065x = 826,542 × 826,542
  4. Step 4: Simplify right side
    376,065x = 683,171,677,764
  5. Step 5: Solve for x
    x = 683,171,677,764/376,065
  6. Step 6: Final answer
    x = 1,816,631.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.