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Finding the Third Proportional to 2,322,198 and 3,586,838

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Solution

The third proportional to 2,322,198 and 3,586,838 is: 5,540,185.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322,198 : 3,586,838 = 3,586,838 : x
  2. Step 2: Convert to fraction form
    2,322,198/3,586,838 = 3,586,838/x
  3. Step 3: Cross multiply
    2,322,198x = 3,586,838 × 3,586,838
  4. Step 4: Simplify right side
    2,322,198x = 12,865,406,838,244
  5. Step 5: Solve for x
    x = 12,865,406,838,244/2,322,198
  6. Step 6: Final answer
    x = 5,540,185.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.