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Finding the Third Proportional to 443,856 and 970,770

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Solution

The third proportional to 443,856 and 970,770 is: 2,123,198.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,856 : 970,770 = 970,770 : x
  2. Step 2: Convert to fraction form
    443,856/970,770 = 970,770/x
  3. Step 3: Cross multiply
    443,856x = 970,770 × 970,770
  4. Step 4: Simplify right side
    443,856x = 942,394,392,900
  5. Step 5: Solve for x
    x = 942,394,392,900/443,856
  6. Step 6: Final answer
    x = 2,123,198.50

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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.