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Finding the Third Proportional to 633,885.75 and 1,375,253.44

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Solution

The third proportional to 633,885.75 and 1,375,253.44 is: 2,983,695.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,885.75 : 1,375,253.44 = 1,375,253.44 : x
  2. Step 2: Convert to fraction form
    633,885.75/1,375,253.44 = 1,375,253.44/x
  3. Step 3: Cross multiply
    633,885.75x = 1,375,253.44 × 1,375,253.44
  4. Step 4: Simplify right side
    633,885.75x = 1,891,322,017,355.57
  5. Step 5: Solve for x
    x = 1,891,322,017,355.57/633,885.75
  6. Step 6: Final answer
    x = 2,983,695.43

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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.