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Finding the Third Proportional to 824,571 and 1,790,142.75

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Solution

The third proportional to 824,571 and 1,790,142.75 is: 3,886,397.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,571 : 1,790,142.75 = 1,790,142.75 : x
  2. Step 2: Convert to fraction form
    824,571/1,790,142.75 = 1,790,142.75/x
  3. Step 3: Cross multiply
    824,571x = 1,790,142.75 × 1,790,142.75
  4. Step 4: Simplify right side
    824,571x = 3,204,611,065,377.56
  5. Step 5: Solve for x
    x = 3,204,611,065,377.56/824,571
  6. Step 6: Final answer
    x = 3,886,397.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.