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Finding the Third Proportional to 2,177,570 and 3,204,147

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Solution

The third proportional to 2,177,570 and 3,204,147 is: 4,714,685.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177,570 : 3,204,147 = 3,204,147 : x
  2. Step 2: Convert to fraction form
    2,177,570/3,204,147 = 3,204,147/x
  3. Step 3: Cross multiply
    2,177,570x = 3,204,147 × 3,204,147
  4. Step 4: Simplify right side
    2,177,570x = 10,266,557,997,609
  5. Step 5: Solve for x
    x = 10,266,557,997,609/2,177,570
  6. Step 6: Final answer
    x = 4,714,685.63

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.