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Finding the Third Proportional to 1,454,357 and 3,396,780

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Solution

The third proportional to 1,454,357 and 3,396,780 is: 7,933,481.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454,357 : 3,396,780 = 3,396,780 : x
  2. Step 2: Convert to fraction form
    1,454,357/3,396,780 = 3,396,780/x
  3. Step 3: Cross multiply
    1,454,357x = 3,396,780 × 3,396,780
  4. Step 4: Simplify right side
    1,454,357x = 11,538,114,368,400
  5. Step 5: Solve for x
    x = 11,538,114,368,400/1,454,357
  6. Step 6: Final answer
    x = 7,933,481.51

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.