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Finding the Third Proportional to 443,891 and 970,825

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Solution

The third proportional to 443,891 and 970,825 is: 2,123,271.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,891 : 970,825 = 970,825 : x
  2. Step 2: Convert to fraction form
    443,891/970,825 = 970,825/x
  3. Step 3: Cross multiply
    443,891x = 970,825 × 970,825
  4. Step 4: Simplify right side
    443,891x = 942,501,180,625
  5. Step 5: Solve for x
    x = 942,501,180,625/443,891
  6. Step 6: Final answer
    x = 2,123,271.66

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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.