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Finding the Third Proportional to 408,982 and 837,796

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Solution

The third proportional to 408,982 and 837,796 is: 1,716,217.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,982 : 837,796 = 837,796 : x
  2. Step 2: Convert to fraction form
    408,982/837,796 = 837,796/x
  3. Step 3: Cross multiply
    408,982x = 837,796 × 837,796
  4. Step 4: Simplify right side
    408,982x = 701,902,137,616
  5. Step 5: Solve for x
    x = 701,902,137,616/408,982
  6. Step 6: Final answer
    x = 1,716,217.68

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.