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Finding the Third Proportional to 1,449,068 and 3,147,251

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Solution

The third proportional to 1,449,068 and 3,147,251 is: 6,835,558.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449,068 : 3,147,251 = 3,147,251 : x
  2. Step 2: Convert to fraction form
    1,449,068/3,147,251 = 3,147,251/x
  3. Step 3: Cross multiply
    1,449,068x = 3,147,251 × 3,147,251
  4. Step 4: Simplify right side
    1,449,068x = 9,905,188,857,001
  5. Step 5: Solve for x
    x = 9,905,188,857,001/1,449,068
  6. Step 6: Final answer
    x = 6,835,558.34

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.