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Finding the Third Proportional to 1,383,901.50 and 1,947,987

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Solution

The third proportional to 1,383,901.50 and 1,947,987 is: 2,741,996.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383,901.50 : 1,947,987 = 1,947,987 : x
  2. Step 2: Convert to fraction form
    1,383,901.50/1,947,987 = 1,947,987/x
  3. Step 3: Cross multiply
    1,383,901.50x = 1,947,987 × 1,947,987
  4. Step 4: Simplify right side
    1,383,901.50x = 3,794,653,352,169
  5. Step 5: Solve for x
    x = 3,794,653,352,169/1,383,901.50
  6. Step 6: Final answer
    x = 2,741,996.70

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.