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Finding the Third Proportional to 377,613 and 820,962

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Solution

The third proportional to 377,613 and 820,962 is: 1,784,839.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,613 : 820,962 = 820,962 : x
  2. Step 2: Convert to fraction form
    377,613/820,962 = 820,962/x
  3. Step 3: Cross multiply
    377,613x = 820,962 × 820,962
  4. Step 4: Simplify right side
    377,613x = 673,978,605,444
  5. Step 5: Solve for x
    x = 673,978,605,444/377,613
  6. Step 6: Final answer
    x = 1,784,839.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.