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Finding the Third Proportional to 449,682 and 994,588

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Solution

The third proportional to 449,682 and 994,588 is: 2,199,788.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,682 : 994,588 = 994,588 : x
  2. Step 2: Convert to fraction form
    449,682/994,588 = 994,588/x
  3. Step 3: Cross multiply
    449,682x = 994,588 × 994,588
  4. Step 4: Simplify right side
    449,682x = 989,205,289,744
  5. Step 5: Solve for x
    x = 989,205,289,744/449,682
  6. Step 6: Final answer
    x = 2,199,788.49

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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.