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Finding the Third Proportional to 443,919 and 970,869

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Solution

The third proportional to 443,919 and 970,869 is: 2,123,330.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,919 : 970,869 = 970,869 : x
  2. Step 2: Convert to fraction form
    443,919/970,869 = 970,869/x
  3. Step 3: Cross multiply
    443,919x = 970,869 × 970,869
  4. Step 4: Simplify right side
    443,919x = 942,586,615,161
  5. Step 5: Solve for x
    x = 942,586,615,161/443,919
  6. Step 6: Final answer
    x = 2,123,330.19

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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.