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Finding the Third Proportional to 1,319,919.75 and 3,178,711.13

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Solution

The third proportional to 1,319,919.75 and 3,178,711.13 is: 7,655,165.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319,919.75 : 3,178,711.13 = 3,178,711.13 : x
  2. Step 2: Convert to fraction form
    1,319,919.75/3,178,711.13 = 3,178,711.13/x
  3. Step 3: Cross multiply
    1,319,919.75x = 3,178,711.13 × 3,178,711.13
  4. Step 4: Simplify right side
    1,319,919.75x = 10,104,204,416,198.77
  5. Step 5: Solve for x
    x = 10,104,204,416,198.77/1,319,919.75
  6. Step 6: Final answer
    x = 7,655,165.71

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.