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Finding the Third Proportional to 947,166 and 2,093,670

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Solution

The third proportional to 947,166 and 2,093,670 is: 4,627,968.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,166 : 2,093,670 = 2,093,670 : x
  2. Step 2: Convert to fraction form
    947,166/2,093,670 = 2,093,670/x
  3. Step 3: Cross multiply
    947,166x = 2,093,670 × 2,093,670
  4. Step 4: Simplify right side
    947,166x = 4,383,454,068,900
  5. Step 5: Solve for x
    x = 4,383,454,068,900/947,166
  6. Step 6: Final answer
    x = 4,627,968.14

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.