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Finding the Third Proportional to 444,243 and 959,411

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Solution

The third proportional to 444,243 and 959,411 is: 2,071,995.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,243 : 959,411 = 959,411 : x
  2. Step 2: Convert to fraction form
    444,243/959,411 = 959,411/x
  3. Step 3: Cross multiply
    444,243x = 959,411 × 959,411
  4. Step 4: Simplify right side
    444,243x = 920,469,466,921
  5. Step 5: Solve for x
    x = 920,469,466,921/444,243
  6. Step 6: Final answer
    x = 2,071,995.43

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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.