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Finding the Third Proportional to 1,218,311 and 1,893,913

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Solution

The third proportional to 1,218,311 and 1,893,913 is: 2,944,163.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218,311 : 1,893,913 = 1,893,913 : x
  2. Step 2: Convert to fraction form
    1,218,311/1,893,913 = 1,893,913/x
  3. Step 3: Cross multiply
    1,218,311x = 1,893,913 × 1,893,913
  4. Step 4: Simplify right side
    1,218,311x = 3,586,906,451,569
  5. Step 5: Solve for x
    x = 3,586,906,451,569/1,218,311
  6. Step 6: Final answer
    x = 2,944,163.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.