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Finding the Third Proportional to 440,512 and 961,936

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Solution

The third proportional to 440,512 and 961,936 is: 2,100,557.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,512 : 961,936 = 961,936 : x
  2. Step 2: Convert to fraction form
    440,512/961,936 = 961,936/x
  3. Step 3: Cross multiply
    440,512x = 961,936 × 961,936
  4. Step 4: Simplify right side
    440,512x = 925,320,868,096
  5. Step 5: Solve for x
    x = 925,320,868,096/440,512
  6. Step 6: Final answer
    x = 2,100,557.69

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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.