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Finding the Third Proportional to 1,340,884.13 and 2,042,313.75

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Solution

The third proportional to 1,340,884.13 and 2,042,313.75 is: 3,110,668.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340,884.13 : 2,042,313.75 = 2,042,313.75 : x
  2. Step 2: Convert to fraction form
    1,340,884.13/2,042,313.75 = 2,042,313.75/x
  3. Step 3: Cross multiply
    1,340,884.13x = 2,042,313.75 × 2,042,313.75
  4. Step 4: Simplify right side
    1,340,884.13x = 4,171,045,453,439.06
  5. Step 5: Solve for x
    x = 4,171,045,453,439.06/1,340,884.13
  6. Step 6: Final answer
    x = 3,110,668.09

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.