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Finding the Third Proportional to 444,384 and 967,536

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Solution

The third proportional to 444,384 and 967,536 is: 2,106,569.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,384 : 967,536 = 967,536 : x
  2. Step 2: Convert to fraction form
    444,384/967,536 = 967,536/x
  3. Step 3: Cross multiply
    444,384x = 967,536 × 967,536
  4. Step 4: Simplify right side
    444,384x = 936,125,911,296
  5. Step 5: Solve for x
    x = 936,125,911,296/444,384
  6. Step 6: Final answer
    x = 2,106,569.79

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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.