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Finding the Third Proportional to 2,218,362 and 4,541,802

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Solution

The third proportional to 2,218,362 and 4,541,802 is: 9,298,737.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218,362 : 4,541,802 = 4,541,802 : x
  2. Step 2: Convert to fraction form
    2,218,362/4,541,802 = 4,541,802/x
  3. Step 3: Cross multiply
    2,218,362x = 4,541,802 × 4,541,802
  4. Step 4: Simplify right side
    2,218,362x = 20,627,965,407,204
  5. Step 5: Solve for x
    x = 20,627,965,407,204/2,218,362
  6. Step 6: Final answer
    x = 9,298,737.27

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.