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Finding the Third Proportional to 444,879 and 959,742

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Solution

The third proportional to 444,879 and 959,742 is: 2,070,461.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,879 : 959,742 = 959,742 : x
  2. Step 2: Convert to fraction form
    444,879/959,742 = 959,742/x
  3. Step 3: Cross multiply
    444,879x = 959,742 × 959,742
  4. Step 4: Simplify right side
    444,879x = 921,104,706,564
  5. Step 5: Solve for x
    x = 921,104,706,564/444,879
  6. Step 6: Final answer
    x = 2,070,461.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.