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Finding the Third Proportional to 1,515,998.53 and 3,253,792.78

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Solution

The third proportional to 1,515,998.53 and 3,253,792.78 is: 6,983,626.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515,998.53 : 3,253,792.78 = 3,253,792.78 : x
  2. Step 2: Convert to fraction form
    1,515,998.53/3,253,792.78 = 3,253,792.78/x
  3. Step 3: Cross multiply
    1,515,998.53x = 3,253,792.78 × 3,253,792.78
  4. Step 4: Simplify right side
    1,515,998.53x = 10,587,167,463,314.61
  5. Step 5: Solve for x
    x = 10,587,167,463,314.61/1,515,998.53
  6. Step 6: Final answer
    x = 6,983,626.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.