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Finding the Third Proportional to 449,194 and 979,680

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Solution

The third proportional to 449,194 and 979,680 is: 2,136,655.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,194 : 979,680 = 979,680 : x
  2. Step 2: Convert to fraction form
    449,194/979,680 = 979,680/x
  3. Step 3: Cross multiply
    449,194x = 979,680 × 979,680
  4. Step 4: Simplify right side
    449,194x = 959,772,902,400
  5. Step 5: Solve for x
    x = 959,772,902,400/449,194
  6. Step 6: Final answer
    x = 2,136,655.66

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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.