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Finding the Third Proportional to 1,028,464 and 2,214,978

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Solution

The third proportional to 1,028,464 and 2,214,978 is: 4,770,344.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028,464 : 2,214,978 = 2,214,978 : x
  2. Step 2: Convert to fraction form
    1,028,464/2,214,978 = 2,214,978/x
  3. Step 3: Cross multiply
    1,028,464x = 2,214,978 × 2,214,978
  4. Step 4: Simplify right side
    1,028,464x = 4,906,127,540,484
  5. Step 5: Solve for x
    x = 4,906,127,540,484/1,028,464
  6. Step 6: Final answer
    x = 4,770,344.46

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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.