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Finding the Third Proportional to 541,196 and 1,168,198

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Solution

The third proportional to 541,196 and 1,168,198 is: 2,521,612.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,196 : 1,168,198 = 1,168,198 : x
  2. Step 2: Convert to fraction form
    541,196/1,168,198 = 1,168,198/x
  3. Step 3: Cross multiply
    541,196x = 1,168,198 × 1,168,198
  4. Step 4: Simplify right side
    541,196x = 1,364,686,567,204
  5. Step 5: Solve for x
    x = 1,364,686,567,204/541,196
  6. Step 6: Final answer
    x = 2,521,612.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.