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Finding the Third Proportional to 947,112 and 2,080,848

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Solution

The third proportional to 947,112 and 2,080,848 is: 4,571,717.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,112 : 2,080,848 = 2,080,848 : x
  2. Step 2: Convert to fraction form
    947,112/2,080,848 = 2,080,848/x
  3. Step 3: Cross multiply
    947,112x = 2,080,848 × 2,080,848
  4. Step 4: Simplify right side
    947,112x = 4,329,928,399,104
  5. Step 5: Solve for x
    x = 4,329,928,399,104/947,112
  6. Step 6: Final answer
    x = 4,571,717.39

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.