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Finding the Third Proportional to 396,048 and 841,181

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Solution

The third proportional to 396,048 and 841,181 is: 1,786,615.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,048 : 841,181 = 841,181 : x
  2. Step 2: Convert to fraction form
    396,048/841,181 = 841,181/x
  3. Step 3: Cross multiply
    396,048x = 841,181 × 841,181
  4. Step 4: Simplify right side
    396,048x = 707,585,474,761
  5. Step 5: Solve for x
    x = 707,585,474,761/396,048
  6. Step 6: Final answer
    x = 1,786,615.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.