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Finding the Third Proportional to 444,878 and 959,736

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Solution

The third proportional to 444,878 and 959,736 is: 2,070,439.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,878 : 959,736 = 959,736 : x
  2. Step 2: Convert to fraction form
    444,878/959,736 = 959,736/x
  3. Step 3: Cross multiply
    444,878x = 959,736 × 959,736
  4. Step 4: Simplify right side
    444,878x = 921,093,189,696
  5. Step 5: Solve for x
    x = 921,093,189,696/444,878
  6. Step 6: Final answer
    x = 2,070,439.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.