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Finding the Third Proportional to 374,181 and 820,794

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Solution

The third proportional to 374,181 and 820,794 is: 1,800,473.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,181 : 820,794 = 820,794 : x
  2. Step 2: Convert to fraction form
    374,181/820,794 = 820,794/x
  3. Step 3: Cross multiply
    374,181x = 820,794 × 820,794
  4. Step 4: Simplify right side
    374,181x = 673,702,790,436
  5. Step 5: Solve for x
    x = 673,702,790,436/374,181
  6. Step 6: Final answer
    x = 1,800,473.01

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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.