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Finding the Third Proportional to 374,167 and 820,771

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Solution

The third proportional to 374,167 and 820,771 is: 1,800,439.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,167 : 820,771 = 820,771 : x
  2. Step 2: Convert to fraction form
    374,167/820,771 = 820,771/x
  3. Step 3: Cross multiply
    374,167x = 820,771 × 820,771
  4. Step 4: Simplify right side
    374,167x = 673,665,034,441
  5. Step 5: Solve for x
    x = 673,665,034,441/374,167
  6. Step 6: Final answer
    x = 1,800,439.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.