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Finding the Third Proportional to 405,531 and 836,766

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Solution

The third proportional to 405,531 and 836,766 is: 1,726,569.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,531 : 836,766 = 836,766 : x
  2. Step 2: Convert to fraction form
    405,531/836,766 = 836,766/x
  3. Step 3: Cross multiply
    405,531x = 836,766 × 836,766
  4. Step 4: Simplify right side
    405,531x = 700,177,338,756
  5. Step 5: Solve for x
    x = 700,177,338,756/405,531
  6. Step 6: Final answer
    x = 1,726,569.21

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.