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Finding the Third Proportional to 394,960 and 864,926

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Solution

The third proportional to 394,960 and 864,926 is: 1,894,108.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,960 : 864,926 = 864,926 : x
  2. Step 2: Convert to fraction form
    394,960/864,926 = 864,926/x
  3. Step 3: Cross multiply
    394,960x = 864,926 × 864,926
  4. Step 4: Simplify right side
    394,960x = 748,096,985,476
  5. Step 5: Solve for x
    x = 748,096,985,476/394,960
  6. Step 6: Final answer
    x = 1,894,108.23

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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.