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Finding the Third Proportional to 852,410.25 and 1,420,497

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Solution

The third proportional to 852,410.25 and 1,420,497 is: 2,367,183.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,410.25 : 1,420,497 = 1,420,497 : x
  2. Step 2: Convert to fraction form
    852,410.25/1,420,497 = 1,420,497/x
  3. Step 3: Cross multiply
    852,410.25x = 1,420,497 × 1,420,497
  4. Step 4: Simplify right side
    852,410.25x = 2,017,811,727,009
  5. Step 5: Solve for x
    x = 2,017,811,727,009/852,410.25
  6. Step 6: Final answer
    x = 2,367,183.79

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.