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Finding the Third Proportional to 2,106,540 and 3,178,449

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Solution

The third proportional to 2,106,540 and 3,178,449 is: 4,795,796.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106,540 : 3,178,449 = 3,178,449 : x
  2. Step 2: Convert to fraction form
    2,106,540/3,178,449 = 3,178,449/x
  3. Step 3: Cross multiply
    2,106,540x = 3,178,449 × 3,178,449
  4. Step 4: Simplify right side
    2,106,540x = 10,102,538,045,601
  5. Step 5: Solve for x
    x = 10,102,538,045,601/2,106,540
  6. Step 6: Final answer
    x = 4,795,796.92

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.