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Finding the Third Proportional to 434,933 and 937,223

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Solution

The third proportional to 434,933 and 937,223 is: 2,019,591.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,933 : 937,223 = 937,223 : x
  2. Step 2: Convert to fraction form
    434,933/937,223 = 937,223/x
  3. Step 3: Cross multiply
    434,933x = 937,223 × 937,223
  4. Step 4: Simplify right side
    434,933x = 878,386,951,729
  5. Step 5: Solve for x
    x = 878,386,951,729/434,933
  6. Step 6: Final answer
    x = 2,019,591.41

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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.