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Finding the Third Proportional to 437,241 and 956,238

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Solution

The third proportional to 437,241 and 956,238 is: 2,091,274.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,241 : 956,238 = 956,238 : x
  2. Step 2: Convert to fraction form
    437,241/956,238 = 956,238/x
  3. Step 3: Cross multiply
    437,241x = 956,238 × 956,238
  4. Step 4: Simplify right side
    437,241x = 914,391,112,644
  5. Step 5: Solve for x
    x = 914,391,112,644/437,241
  6. Step 6: Final answer
    x = 2,091,274.86

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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.