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Finding the Third Proportional to 433,163 and 950,026

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Solution

The third proportional to 433,163 and 950,026 is: 2,083,625.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,163 : 950,026 = 950,026 : x
  2. Step 2: Convert to fraction form
    433,163/950,026 = 950,026/x
  3. Step 3: Cross multiply
    433,163x = 950,026 × 950,026
  4. Step 4: Simplify right side
    433,163x = 902,549,400,676
  5. Step 5: Solve for x
    x = 902,549,400,676/433,163
  6. Step 6: Final answer
    x = 2,083,625.33

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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.