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Finding the Third Proportional to 843,891 and 1,990,869

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Solution

The third proportional to 843,891 and 1,990,869 is: 4,696,766.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,891 : 1,990,869 = 1,990,869 : x
  2. Step 2: Convert to fraction form
    843,891/1,990,869 = 1,990,869/x
  3. Step 3: Cross multiply
    843,891x = 1,990,869 × 1,990,869
  4. Step 4: Simplify right side
    843,891x = 3,963,559,375,161
  5. Step 5: Solve for x
    x = 3,963,559,375,161/843,891
  6. Step 6: Final answer
    x = 4,696,766.97

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.