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Finding the Third Proportional to 433,161 and 950,022

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Solution

The third proportional to 433,161 and 950,022 is: 2,083,617.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,161 : 950,022 = 950,022 : x
  2. Step 2: Convert to fraction form
    433,161/950,022 = 950,022/x
  3. Step 3: Cross multiply
    433,161x = 950,022 × 950,022
  4. Step 4: Simplify right side
    433,161x = 902,541,800,484
  5. Step 5: Solve for x
    x = 902,541,800,484/433,161
  6. Step 6: Final answer
    x = 2,083,617.41

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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.