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Finding the Third Proportional to 437,239 and 956,234

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Solution

The third proportional to 437,239 and 956,234 is: 2,091,266.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,239 : 956,234 = 956,234 : x
  2. Step 2: Convert to fraction form
    437,239/956,234 = 956,234/x
  3. Step 3: Cross multiply
    437,239x = 956,234 × 956,234
  4. Step 4: Simplify right side
    437,239x = 914,383,462,756
  5. Step 5: Solve for x
    x = 914,383,462,756/437,239
  6. Step 6: Final answer
    x = 2,091,266.93

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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.