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Finding the Third Proportional to 807,767 and 1,642,019

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Solution

The third proportional to 807,767 and 1,642,019 is: 3,337,876.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,767 : 1,642,019 = 1,642,019 : x
  2. Step 2: Convert to fraction form
    807,767/1,642,019 = 1,642,019/x
  3. Step 3: Cross multiply
    807,767x = 1,642,019 × 1,642,019
  4. Step 4: Simplify right side
    807,767x = 2,696,226,396,361
  5. Step 5: Solve for x
    x = 2,696,226,396,361/807,767
  6. Step 6: Final answer
    x = 3,337,876.39

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.