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Finding the Third Proportional to 945,198.75 and 1,435,272.75

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Solution

The third proportional to 945,198.75 and 1,435,272.75 is: 2,179,444.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,198.75 : 1,435,272.75 = 1,435,272.75 : x
  2. Step 2: Convert to fraction form
    945,198.75/1,435,272.75 = 1,435,272.75/x
  3. Step 3: Cross multiply
    945,198.75x = 1,435,272.75 × 1,435,272.75
  4. Step 4: Simplify right side
    945,198.75x = 2,060,007,866,892.56
  5. Step 5: Solve for x
    x = 2,060,007,866,892.56/945,198.75
  6. Step 6: Final answer
    x = 2,179,444.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.