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Finding the Third Proportional to 1,285,125 and 2,822,493

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Solution

The third proportional to 1,285,125 and 2,822,493 is: 6,198,981.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285,125 : 2,822,493 = 2,822,493 : x
  2. Step 2: Convert to fraction form
    1,285,125/2,822,493 = 2,822,493/x
  3. Step 3: Cross multiply
    1,285,125x = 2,822,493 × 2,822,493
  4. Step 4: Simplify right side
    1,285,125x = 7,966,466,735,049
  5. Step 5: Solve for x
    x = 7,966,466,735,049/1,285,125
  6. Step 6: Final answer
    x = 6,198,981.99

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.