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Finding the Third Proportional to 443,917 and 970,865

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Solution

The third proportional to 443,917 and 970,865 is: 2,123,322.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,917 : 970,865 = 970,865 : x
  2. Step 2: Convert to fraction form
    443,917/970,865 = 970,865/x
  3. Step 3: Cross multiply
    443,917x = 970,865 × 970,865
  4. Step 4: Simplify right side
    443,917x = 942,578,848,225
  5. Step 5: Solve for x
    x = 942,578,848,225/443,917
  6. Step 6: Final answer
    x = 2,123,322.26

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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.