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Finding the Third Proportional to 443,889 and 970,821

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Solution

The third proportional to 443,889 and 970,821 is: 2,123,263.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,889 : 970,821 = 970,821 : x
  2. Step 2: Convert to fraction form
    443,889/970,821 = 970,821/x
  3. Step 3: Cross multiply
    443,889x = 970,821 × 970,821
  4. Step 4: Simplify right side
    443,889x = 942,493,414,041
  5. Step 5: Solve for x
    x = 942,493,414,041/443,889
  6. Step 6: Final answer
    x = 2,123,263.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.