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Finding the Third Proportional to 444,881 and 968,098

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Solution

The third proportional to 444,881 and 968,098 is: 2,106,661.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,881 : 968,098 = 968,098 : x
  2. Step 2: Convert to fraction form
    444,881/968,098 = 968,098/x
  3. Step 3: Cross multiply
    444,881x = 968,098 × 968,098
  4. Step 4: Simplify right side
    444,881x = 937,213,737,604
  5. Step 5: Solve for x
    x = 937,213,737,604/444,881
  6. Step 6: Final answer
    x = 2,106,661.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.