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Finding the Third Proportional to 2,209,596 and 3,412,078

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Solution

The third proportional to 2,209,596 and 3,412,078 is: 5,268,961.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209,596 : 3,412,078 = 3,412,078 : x
  2. Step 2: Convert to fraction form
    2,209,596/3,412,078 = 3,412,078/x
  3. Step 3: Cross multiply
    2,209,596x = 3,412,078 × 3,412,078
  4. Step 4: Simplify right side
    2,209,596x = 11,642,276,278,084
  5. Step 5: Solve for x
    x = 11,642,276,278,084/2,209,596
  6. Step 6: Final answer
    x = 5,268,961.51

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.