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Finding the Third Proportional to 1,293,536 and 2,721,147

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Solution

The third proportional to 1,293,536 and 2,721,147 is: 5,724,340.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293,536 : 2,721,147 = 2,721,147 : x
  2. Step 2: Convert to fraction form
    1,293,536/2,721,147 = 2,721,147/x
  3. Step 3: Cross multiply
    1,293,536x = 2,721,147 × 2,721,147
  4. Step 4: Simplify right side
    1,293,536x = 7,404,640,995,609
  5. Step 5: Solve for x
    x = 7,404,640,995,609/1,293,536
  6. Step 6: Final answer
    x = 5,724,340.87

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.