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Finding the Third Proportional to 449,192 and 979,676

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Solution

The third proportional to 449,192 and 979,676 is: 2,136,647.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,192 : 979,676 = 979,676 : x
  2. Step 2: Convert to fraction form
    449,192/979,676 = 979,676/x
  3. Step 3: Cross multiply
    449,192x = 979,676 × 979,676
  4. Step 4: Simplify right side
    449,192x = 959,765,064,976
  5. Step 5: Solve for x
    x = 959,765,064,976/449,192
  6. Step 6: Final answer
    x = 2,136,647.73

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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.