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Finding the Third Proportional to 1,292,586 and 2,647,860

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Solution

The third proportional to 1,292,586 and 2,647,860 is: 5,424,136.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292,586 : 2,647,860 = 2,647,860 : x
  2. Step 2: Convert to fraction form
    1,292,586/2,647,860 = 2,647,860/x
  3. Step 3: Cross multiply
    1,292,586x = 2,647,860 × 2,647,860
  4. Step 4: Simplify right side
    1,292,586x = 7,011,162,579,600
  5. Step 5: Solve for x
    x = 7,011,162,579,600/1,292,586
  6. Step 6: Final answer
    x = 5,424,136.25

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.