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Finding the Third Proportional to 374,022 and 826,794

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Solution

The third proportional to 374,022 and 826,794 is: 1,827,668.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,022 : 826,794 = 826,794 : x
  2. Step 2: Convert to fraction form
    374,022/826,794 = 826,794/x
  3. Step 3: Cross multiply
    374,022x = 826,794 × 826,794
  4. Step 4: Simplify right side
    374,022x = 683,588,318,436
  5. Step 5: Solve for x
    x = 683,588,318,436/374,022
  6. Step 6: Final answer
    x = 1,827,668.74

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.