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Finding the Third Proportional to 444,896 and 959,774

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Solution

The third proportional to 444,896 and 959,774 is: 2,070,520.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,896 : 959,774 = 959,774 : x
  2. Step 2: Convert to fraction form
    444,896/959,774 = 959,774/x
  3. Step 3: Cross multiply
    444,896x = 959,774 × 959,774
  4. Step 4: Simplify right side
    444,896x = 921,166,131,076
  5. Step 5: Solve for x
    x = 921,166,131,076/444,896
  6. Step 6: Final answer
    x = 2,070,520.15

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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.