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Finding the Third Proportional to 441,824 and 954,256

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Solution

The third proportional to 441,824 and 954,256 is: 2,061,011.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,824 : 954,256 = 954,256 : x
  2. Step 2: Convert to fraction form
    441,824/954,256 = 954,256/x
  3. Step 3: Cross multiply
    441,824x = 954,256 × 954,256
  4. Step 4: Simplify right side
    441,824x = 910,604,513,536
  5. Step 5: Solve for x
    x = 910,604,513,536/441,824
  6. Step 6: Final answer
    x = 2,061,011.88

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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.