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Finding the Third Proportional to 1,206,869 and 1,789,413

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Solution

The third proportional to 1,206,869 and 1,789,413 is: 2,653,145.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206,869 : 1,789,413 = 1,789,413 : x
  2. Step 2: Convert to fraction form
    1,206,869/1,789,413 = 1,789,413/x
  3. Step 3: Cross multiply
    1,206,869x = 1,789,413 × 1,789,413
  4. Step 4: Simplify right side
    1,206,869x = 3,201,998,884,569
  5. Step 5: Solve for x
    x = 3,201,998,884,569/1,206,869
  6. Step 6: Final answer
    x = 2,653,145.36

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.