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Finding the Third Proportional to 2,709,227.25 and 3,715,085.25

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Solution

The third proportional to 2,709,227.25 and 3,715,085.25 is: 5,094,389.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709,227.25 : 3,715,085.25 = 3,715,085.25 : x
  2. Step 2: Convert to fraction form
    2,709,227.25/3,715,085.25 = 3,715,085.25/x
  3. Step 3: Cross multiply
    2,709,227.25x = 3,715,085.25 × 3,715,085.25
  4. Step 4: Simplify right side
    2,709,227.25x = 13,801,858,414,767.56
  5. Step 5: Solve for x
    x = 13,801,858,414,767.56/2,709,227.25
  6. Step 6: Final answer
    x = 5,094,389.34

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.