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Finding the Third Proportional to 440,832 and 954,912

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Solution

The third proportional to 440,832 and 954,912 is: 2,068,490.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,832 : 954,912 = 954,912 : x
  2. Step 2: Convert to fraction form
    440,832/954,912 = 954,912/x
  3. Step 3: Cross multiply
    440,832x = 954,912 × 954,912
  4. Step 4: Simplify right side
    440,832x = 911,856,927,744
  5. Step 5: Solve for x
    x = 911,856,927,744/440,832
  6. Step 6: Final answer
    x = 2,068,490.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.