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Finding the Third Proportional to 433,191 and 950,079

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Solution

The third proportional to 433,191 and 950,079 is: 2,083,723.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,191 : 950,079 = 950,079 : x
  2. Step 2: Convert to fraction form
    433,191/950,079 = 950,079/x
  3. Step 3: Cross multiply
    433,191x = 950,079 × 950,079
  4. Step 4: Simplify right side
    433,191x = 902,650,106,241
  5. Step 5: Solve for x
    x = 902,650,106,241/433,191
  6. Step 6: Final answer
    x = 2,083,723.13

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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.