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Finding the Third Proportional to 420,770 and 905,692

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Solution

The third proportional to 420,770 and 905,692 is: 1,949,468.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,770 : 905,692 = 905,692 : x
  2. Step 2: Convert to fraction form
    420,770/905,692 = 905,692/x
  3. Step 3: Cross multiply
    420,770x = 905,692 × 905,692
  4. Step 4: Simplify right side
    420,770x = 820,277,998,864
  5. Step 5: Solve for x
    x = 820,277,998,864/420,770
  6. Step 6: Final answer
    x = 1,949,468.83

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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.