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Finding the Third Proportional to 776,162.25 and 1,670,361.75

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Solution

The third proportional to 776,162.25 and 1,670,361.75 is: 3,594,748.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,162.25 : 1,670,361.75 = 1,670,361.75 : x
  2. Step 2: Convert to fraction form
    776,162.25/1,670,361.75 = 1,670,361.75/x
  3. Step 3: Cross multiply
    776,162.25x = 1,670,361.75 × 1,670,361.75
  4. Step 4: Simplify right side
    776,162.25x = 2,790,108,375,863.06
  5. Step 5: Solve for x
    x = 2,790,108,375,863.06/776,162.25
  6. Step 6: Final answer
    x = 3,594,748.88

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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.