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Finding the Third Proportional to 819,616 and 1,679,696

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Solution

The third proportional to 819,616 and 1,679,696 is: 3,442,317.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,616 : 1,679,696 = 1,679,696 : x
  2. Step 2: Convert to fraction form
    819,616/1,679,696 = 1,679,696/x
  3. Step 3: Cross multiply
    819,616x = 1,679,696 × 1,679,696
  4. Step 4: Simplify right side
    819,616x = 2,821,378,652,416
  5. Step 5: Solve for x
    x = 2,821,378,652,416/819,616
  6. Step 6: Final answer
    x = 3,442,317.69

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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.