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Finding the Third Proportional to 449,684 and 994,592

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Solution

The third proportional to 449,684 and 994,592 is: 2,199,796.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,684 : 994,592 = 994,592 : x
  2. Step 2: Convert to fraction form
    449,684/994,592 = 994,592/x
  3. Step 3: Cross multiply
    449,684x = 994,592 × 994,592
  4. Step 4: Simplify right side
    449,684x = 989,213,246,464
  5. Step 5: Solve for x
    x = 989,213,246,464/449,684
  6. Step 6: Final answer
    x = 2,199,796.40

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.