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Finding the Third Proportional to 441,855 and 969,732

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Solution

The third proportional to 441,855 and 969,732 is: 2,128,255.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,855 : 969,732 = 969,732 : x
  2. Step 2: Convert to fraction form
    441,855/969,732 = 969,732/x
  3. Step 3: Cross multiply
    441,855x = 969,732 × 969,732
  4. Step 4: Simplify right side
    441,855x = 940,380,151,824
  5. Step 5: Solve for x
    x = 940,380,151,824/441,855
  6. Step 6: Final answer
    x = 2,128,255.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.