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Finding the Third Proportional to 1,825,215.75 and 2,863,098

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Solution

The third proportional to 1,825,215.75 and 2,863,098 is: 4,491,156.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825,215.75 : 2,863,098 = 2,863,098 : x
  2. Step 2: Convert to fraction form
    1,825,215.75/2,863,098 = 2,863,098/x
  3. Step 3: Cross multiply
    1,825,215.75x = 2,863,098 × 2,863,098
  4. Step 4: Simplify right side
    1,825,215.75x = 8,197,330,157,604
  5. Step 5: Solve for x
    x = 8,197,330,157,604/1,825,215.75
  6. Step 6: Final answer
    x = 4,491,156.82

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.