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Finding the Third Proportional to 435,456 and 964,224

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Solution

The third proportional to 435,456 and 964,224 is: 2,135,067.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,456 : 964,224 = 964,224 : x
  2. Step 2: Convert to fraction form
    435,456/964,224 = 964,224/x
  3. Step 3: Cross multiply
    435,456x = 964,224 × 964,224
  4. Step 4: Simplify right side
    435,456x = 929,727,922,176
  5. Step 5: Solve for x
    x = 929,727,922,176/435,456
  6. Step 6: Final answer
    x = 2,135,067.43

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.