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Finding the Third Proportional to 441,753 and 960,834

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Solution

The third proportional to 441,753 and 960,834 is: 2,089,860.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,753 : 960,834 = 960,834 : x
  2. Step 2: Convert to fraction form
    441,753/960,834 = 960,834/x
  3. Step 3: Cross multiply
    441,753x = 960,834 × 960,834
  4. Step 4: Simplify right side
    441,753x = 923,201,975,556
  5. Step 5: Solve for x
    x = 923,201,975,556/441,753
  6. Step 6: Final answer
    x = 2,089,860.12

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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.