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Finding the Third Proportional to 2,043,832 and 4,218,864

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Solution

The third proportional to 2,043,832 and 4,218,864 is: 8,708,550.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043,832 : 4,218,864 = 4,218,864 : x
  2. Step 2: Convert to fraction form
    2,043,832/4,218,864 = 4,218,864/x
  3. Step 3: Cross multiply
    2,043,832x = 4,218,864 × 4,218,864
  4. Step 4: Simplify right side
    2,043,832x = 17,798,813,450,496
  5. Step 5: Solve for x
    x = 17,798,813,450,496/2,043,832
  6. Step 6: Final answer
    x = 8,708,550.14

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.