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Finding the Third Proportional to 1,206,656 and 2,382,832

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Solution

The third proportional to 1,206,656 and 2,382,832 is: 4,705,473.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206,656 : 2,382,832 = 2,382,832 : x
  2. Step 2: Convert to fraction form
    1,206,656/2,382,832 = 2,382,832/x
  3. Step 3: Cross multiply
    1,206,656x = 2,382,832 × 2,382,832
  4. Step 4: Simplify right side
    1,206,656x = 5,677,888,340,224
  5. Step 5: Solve for x
    x = 5,677,888,340,224/1,206,656
  6. Step 6: Final answer
    x = 4,705,473.92

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.