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Finding the Third Proportional to 444,041 and 959,116

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Solution

The third proportional to 444,041 and 959,116 is: 2,071,663.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,041 : 959,116 = 959,116 : x
  2. Step 2: Convert to fraction form
    444,041/959,116 = 959,116/x
  3. Step 3: Cross multiply
    444,041x = 959,116 × 959,116
  4. Step 4: Simplify right side
    444,041x = 919,903,501,456
  5. Step 5: Solve for x
    x = 919,903,501,456/444,041
  6. Step 6: Final answer
    x = 2,071,663.43

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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.