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Finding the Third Proportional to 443,954 and 958,845

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Solution

The third proportional to 443,954 and 958,845 is: 2,070,898.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,954 : 958,845 = 958,845 : x
  2. Step 2: Convert to fraction form
    443,954/958,845 = 958,845/x
  3. Step 3: Cross multiply
    443,954x = 958,845 × 958,845
  4. Step 4: Simplify right side
    443,954x = 919,383,734,025
  5. Step 5: Solve for x
    x = 919,383,734,025/443,954
  6. Step 6: Final answer
    x = 2,070,898.64

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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.