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Finding the Third Proportional to 1,548,198 and 2,345,652

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Solution

The third proportional to 1,548,198 and 2,345,652 is: 3,553,862.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548,198 : 2,345,652 = 2,345,652 : x
  2. Step 2: Convert to fraction form
    1,548,198/2,345,652 = 2,345,652/x
  3. Step 3: Cross multiply
    1,548,198x = 2,345,652 × 2,345,652
  4. Step 4: Simplify right side
    1,548,198x = 5,502,083,305,104
  5. Step 5: Solve for x
    x = 5,502,083,305,104/1,548,198
  6. Step 6: Final answer
    x = 3,553,862.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.