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Finding the Third Proportional to 444,906 and 959,800

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Solution

The third proportional to 444,906 and 959,800 is: 2,070,585.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,906 : 959,800 = 959,800 : x
  2. Step 2: Convert to fraction form
    444,906/959,800 = 959,800/x
  3. Step 3: Cross multiply
    444,906x = 959,800 × 959,800
  4. Step 4: Simplify right side
    444,906x = 921,216,040,000
  5. Step 5: Solve for x
    x = 921,216,040,000/444,906
  6. Step 6: Final answer
    x = 2,070,585.79

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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.