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Finding the Third Proportional to 438,296 and 943,171

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Solution

The third proportional to 438,296 and 943,171 is: 2,029,613.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,296 : 943,171 = 943,171 : x
  2. Step 2: Convert to fraction form
    438,296/943,171 = 943,171/x
  3. Step 3: Cross multiply
    438,296x = 943,171 × 943,171
  4. Step 4: Simplify right side
    438,296x = 889,571,535,241
  5. Step 5: Solve for x
    x = 889,571,535,241/438,296
  6. Step 6: Final answer
    x = 2,029,613.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.