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Finding the Third Proportional to 1,097,912.11 and 2,379,069.70

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Solution

The third proportional to 1,097,912.11 and 2,379,069.70 is: 5,155,214.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097,912.11 : 2,379,069.70 = 2,379,069.70 : x
  2. Step 2: Convert to fraction form
    1,097,912.11/2,379,069.70 = 2,379,069.70/x
  3. Step 3: Cross multiply
    1,097,912.11x = 2,379,069.70 × 2,379,069.70
  4. Step 4: Simplify right side
    1,097,912.11x = 5,659,972,652,327.28
  5. Step 5: Solve for x
    x = 5,659,972,652,327.28/1,097,912.11
  6. Step 6: Final answer
    x = 5,155,214.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.