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Finding the Third Proportional to 444,891 and 959,769

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Solution

The third proportional to 444,891 and 959,769 is: 2,070,521.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,891 : 959,769 = 959,769 : x
  2. Step 2: Convert to fraction form
    444,891/959,769 = 959,769/x
  3. Step 3: Cross multiply
    444,891x = 959,769 × 959,769
  4. Step 4: Simplify right side
    444,891x = 921,156,533,361
  5. Step 5: Solve for x
    x = 921,156,533,361/444,891
  6. Step 6: Final answer
    x = 2,070,521.84

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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.