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Finding the Third Proportional to 1,290,195 and 2,734,206

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Solution

The third proportional to 1,290,195 and 2,734,206 is: 5,794,381.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290,195 : 2,734,206 = 2,734,206 : x
  2. Step 2: Convert to fraction form
    1,290,195/2,734,206 = 2,734,206/x
  3. Step 3: Cross multiply
    1,290,195x = 2,734,206 × 2,734,206
  4. Step 4: Simplify right side
    1,290,195x = 7,475,882,450,436
  5. Step 5: Solve for x
    x = 7,475,882,450,436/1,290,195
  6. Step 6: Final answer
    x = 5,794,381.82

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.