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Finding the Third Proportional to 1,306,485 and 2,813,193

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Solution

The third proportional to 1,306,485 and 2,813,193 is: 6,057,516.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306,485 : 2,813,193 = 2,813,193 : x
  2. Step 2: Convert to fraction form
    1,306,485/2,813,193 = 2,813,193/x
  3. Step 3: Cross multiply
    1,306,485x = 2,813,193 × 2,813,193
  4. Step 4: Simplify right side
    1,306,485x = 7,914,054,855,249
  5. Step 5: Solve for x
    x = 7,914,054,855,249/1,306,485
  6. Step 6: Final answer
    x = 6,057,516.81

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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.