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Finding the Third Proportional to 641,668 and 1,394,184

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Solution

The third proportional to 641,668 and 1,394,184 is: 3,029,212.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,668 : 1,394,184 = 1,394,184 : x
  2. Step 2: Convert to fraction form
    641,668/1,394,184 = 1,394,184/x
  3. Step 3: Cross multiply
    641,668x = 1,394,184 × 1,394,184
  4. Step 4: Simplify right side
    641,668x = 1,943,749,025,856
  5. Step 5: Solve for x
    x = 1,943,749,025,856/641,668
  6. Step 6: Final answer
    x = 3,029,212.97

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.