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Finding the Third Proportional to 1,028,308 and 2,214,512

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Solution

The third proportional to 1,028,308 and 2,214,512 is: 4,769,060.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028,308 : 2,214,512 = 2,214,512 : x
  2. Step 2: Convert to fraction form
    1,028,308/2,214,512 = 2,214,512/x
  3. Step 3: Cross multiply
    1,028,308x = 2,214,512 × 2,214,512
  4. Step 4: Simplify right side
    1,028,308x = 4,904,063,398,144
  5. Step 5: Solve for x
    x = 4,904,063,398,144/1,028,308
  6. Step 6: Final answer
    x = 4,769,060.82

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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.