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Finding the Third Proportional to 445,831 and 964,380

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Solution

The third proportional to 445,831 and 964,380 is: 2,086,056.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,831 : 964,380 = 964,380 : x
  2. Step 2: Convert to fraction form
    445,831/964,380 = 964,380/x
  3. Step 3: Cross multiply
    445,831x = 964,380 × 964,380
  4. Step 4: Simplify right side
    445,831x = 930,028,784,400
  5. Step 5: Solve for x
    x = 930,028,784,400/445,831
  6. Step 6: Final answer
    x = 2,086,056.79

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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.