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Finding the Third Proportional to 843,195 and 1,990,411

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Solution

The third proportional to 843,195 and 1,990,411 is: 4,698,481.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,195 : 1,990,411 = 1,990,411 : x
  2. Step 2: Convert to fraction form
    843,195/1,990,411 = 1,990,411/x
  3. Step 3: Cross multiply
    843,195x = 1,990,411 × 1,990,411
  4. Step 4: Simplify right side
    843,195x = 3,961,735,948,921
  5. Step 5: Solve for x
    x = 3,961,735,948,921/843,195
  6. Step 6: Final answer
    x = 4,698,481.31

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