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Finding the Third Proportional to 705,198 and 1,550,358

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Solution

The third proportional to 705,198 and 1,550,358 is: 3,408,418.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,198 : 1,550,358 = 1,550,358 : x
  2. Step 2: Convert to fraction form
    705,198/1,550,358 = 1,550,358/x
  3. Step 3: Cross multiply
    705,198x = 1,550,358 × 1,550,358
  4. Step 4: Simplify right side
    705,198x = 2,403,609,928,164
  5. Step 5: Solve for x
    x = 2,403,609,928,164/705,198
  6. Step 6: Final answer
    x = 3,408,418.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.