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Finding the Third Proportional to 441,744 and 960,816

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Solution

The third proportional to 441,744 and 960,816 is: 2,089,824.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,744 : 960,816 = 960,816 : x
  2. Step 2: Convert to fraction form
    441,744/960,816 = 960,816/x
  3. Step 3: Cross multiply
    441,744x = 960,816 × 960,816
  4. Step 4: Simplify right side
    441,744x = 923,167,385,856
  5. Step 5: Solve for x
    x = 923,167,385,856/441,744
  6. Step 6: Final answer
    x = 2,089,824.39

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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.