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Finding the Third Proportional to 441,783 and 960,894

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Solution

The third proportional to 441,783 and 960,894 is: 2,089,979.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,783 : 960,894 = 960,894 : x
  2. Step 2: Convert to fraction form
    441,783/960,894 = 960,894/x
  3. Step 3: Cross multiply
    441,783x = 960,894 × 960,894
  4. Step 4: Simplify right side
    441,783x = 923,317,279,236
  5. Step 5: Solve for x
    x = 923,317,279,236/441,783
  6. Step 6: Final answer
    x = 2,089,979.20

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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.