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Finding the Third Proportional to 433,194 and 950,085

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Solution

The third proportional to 433,194 and 950,085 is: 2,083,735.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,194 : 950,085 = 950,085 : x
  2. Step 2: Convert to fraction form
    433,194/950,085 = 950,085/x
  3. Step 3: Cross multiply
    433,194x = 950,085 × 950,085
  4. Step 4: Simplify right side
    433,194x = 902,661,507,225
  5. Step 5: Solve for x
    x = 902,661,507,225/433,194
  6. Step 6: Final answer
    x = 2,083,735.02

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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.