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Finding the Third Proportional to 1,285,826 and 2,800,234

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Solution

The third proportional to 1,285,826 and 2,800,234 is: 6,098,267.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285,826 : 2,800,234 = 2,800,234 : x
  2. Step 2: Convert to fraction form
    1,285,826/2,800,234 = 2,800,234/x
  3. Step 3: Cross multiply
    1,285,826x = 2,800,234 × 2,800,234
  4. Step 4: Simplify right side
    1,285,826x = 7,841,310,454,756
  5. Step 5: Solve for x
    x = 7,841,310,454,756/1,285,826
  6. Step 6: Final answer
    x = 6,098,267.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.