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Finding the Third Proportional to 1,306,869 and 2,813,976

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Solution

The third proportional to 1,306,869 and 2,813,976 is: 6,059,108.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306,869 : 2,813,976 = 2,813,976 : x
  2. Step 2: Convert to fraction form
    1,306,869/2,813,976 = 2,813,976/x
  3. Step 3: Cross multiply
    1,306,869x = 2,813,976 × 2,813,976
  4. Step 4: Simplify right side
    1,306,869x = 7,918,460,928,576
  5. Step 5: Solve for x
    x = 7,918,460,928,576/1,306,869
  6. Step 6: Final answer
    x = 6,059,108.39

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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.