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Finding the Third Proportional to 663,039 and 1,419,150

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Solution

The third proportional to 663,039 and 1,419,150 is: 3,037,508.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,039 : 1,419,150 = 1,419,150 : x
  2. Step 2: Convert to fraction form
    663,039/1,419,150 = 1,419,150/x
  3. Step 3: Cross multiply
    663,039x = 1,419,150 × 1,419,150
  4. Step 4: Simplify right side
    663,039x = 2,013,986,722,500
  5. Step 5: Solve for x
    x = 2,013,986,722,500/663,039
  6. Step 6: Final answer
    x = 3,037,508.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.