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Finding the Third Proportional to 1,419,934.50 and 3,123,747

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Solution

The third proportional to 1,419,934.50 and 3,123,747 is: 6,872,003.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419,934.50 : 3,123,747 = 3,123,747 : x
  2. Step 2: Convert to fraction form
    1,419,934.50/3,123,747 = 3,123,747/x
  3. Step 3: Cross multiply
    1,419,934.50x = 3,123,747 × 3,123,747
  4. Step 4: Simplify right side
    1,419,934.50x = 9,757,795,320,009
  5. Step 5: Solve for x
    x = 9,757,795,320,009/1,419,934.50
  6. Step 6: Final answer
    x = 6,872,003.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.