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Finding the Third Proportional to 434,935 and 937,227

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Solution

The third proportional to 434,935 and 937,227 is: 2,019,599.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,935 : 937,227 = 937,227 : x
  2. Step 2: Convert to fraction form
    434,935/937,227 = 937,227/x
  3. Step 3: Cross multiply
    434,935x = 937,227 × 937,227
  4. Step 4: Simplify right side
    434,935x = 878,394,449,529
  5. Step 5: Solve for x
    x = 878,394,449,529/434,935
  6. Step 6: Final answer
    x = 2,019,599.36

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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.