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Finding the Third Proportional to 2,045,198 and 3,201,285

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Solution

The third proportional to 2,045,198 and 3,201,285 is: 5,010,872.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045,198 : 3,201,285 = 3,201,285 : x
  2. Step 2: Convert to fraction form
    2,045,198/3,201,285 = 3,201,285/x
  3. Step 3: Cross multiply
    2,045,198x = 3,201,285 × 3,201,285
  4. Step 4: Simplify right side
    2,045,198x = 10,248,225,651,225
  5. Step 5: Solve for x
    x = 10,248,225,651,225/2,045,198
  6. Step 6: Final answer
    x = 5,010,872.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.