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Finding the Third Proportional to 440,504 and 961,920

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Solution

The third proportional to 440,504 and 961,920 is: 2,100,525.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,504 : 961,920 = 961,920 : x
  2. Step 2: Convert to fraction form
    440,504/961,920 = 961,920/x
  3. Step 3: Cross multiply
    440,504x = 961,920 × 961,920
  4. Step 4: Simplify right side
    440,504x = 925,290,086,400
  5. Step 5: Solve for x
    x = 925,290,086,400/440,504
  6. Step 6: Final answer
    x = 2,100,525.96

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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.