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Finding the Third Proportional to 443,241 and 979,794

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Solution

The third proportional to 443,241 and 979,794 is: 2,165,856.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,241 : 979,794 = 979,794 : x
  2. Step 2: Convert to fraction form
    443,241/979,794 = 979,794/x
  3. Step 3: Cross multiply
    443,241x = 979,794 × 979,794
  4. Step 4: Simplify right side
    443,241x = 959,996,282,436
  5. Step 5: Solve for x
    x = 959,996,282,436/443,241
  6. Step 6: Final answer
    x = 2,165,856.23

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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.