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Finding the Third Proportional to 426,978 and 919,935

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Solution

The third proportional to 426,978 and 919,935 is: 1,982,023.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,978 : 919,935 = 919,935 : x
  2. Step 2: Convert to fraction form
    426,978/919,935 = 919,935/x
  3. Step 3: Cross multiply
    426,978x = 919,935 × 919,935
  4. Step 4: Simplify right side
    426,978x = 846,280,404,225
  5. Step 5: Solve for x
    x = 846,280,404,225/426,978
  6. Step 6: Final answer
    x = 1,982,023.44

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.