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Finding the Third Proportional to 394,191 and 847,431

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Solution

The third proportional to 394,191 and 847,431 is: 1,821,805.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,191 : 847,431 = 847,431 : x
  2. Step 2: Convert to fraction form
    394,191/847,431 = 847,431/x
  3. Step 3: Cross multiply
    394,191x = 847,431 × 847,431
  4. Step 4: Simplify right side
    394,191x = 718,139,299,761
  5. Step 5: Solve for x
    x = 718,139,299,761/394,191
  6. Step 6: Final answer
    x = 1,821,805.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.