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Finding the Third Proportional to 435,236 and 922,744

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Solution

The third proportional to 435,236 and 922,744 is: 1,956,309.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,236 : 922,744 = 922,744 : x
  2. Step 2: Convert to fraction form
    435,236/922,744 = 922,744/x
  3. Step 3: Cross multiply
    435,236x = 922,744 × 922,744
  4. Step 4: Simplify right side
    435,236x = 851,456,489,536
  5. Step 5: Solve for x
    x = 851,456,489,536/435,236
  6. Step 6: Final answer
    x = 1,956,309.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.