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Finding the Third Proportional to 2,026,198 and 4,323,612

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Solution

The third proportional to 2,026,198 and 4,323,612 is: 9,225,959.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026,198 : 4,323,612 = 4,323,612 : x
  2. Step 2: Convert to fraction form
    2,026,198/4,323,612 = 4,323,612/x
  3. Step 3: Cross multiply
    2,026,198x = 4,323,612 × 4,323,612
  4. Step 4: Simplify right side
    2,026,198x = 18,693,620,726,544
  5. Step 5: Solve for x
    x = 18,693,620,726,544/2,026,198
  6. Step 6: Final answer
    x = 9,225,959.52

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.