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Finding the Third Proportional to 485,858 and 1,027,108

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Solution

The third proportional to 485,858 and 1,027,108 is: 2,171,315.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,858 : 1,027,108 = 1,027,108 : x
  2. Step 2: Convert to fraction form
    485,858/1,027,108 = 1,027,108/x
  3. Step 3: Cross multiply
    485,858x = 1,027,108 × 1,027,108
  4. Step 4: Simplify right side
    485,858x = 1,054,950,843,664
  5. Step 5: Solve for x
    x = 1,054,950,843,664/485,858
  6. Step 6: Final answer
    x = 2,171,315.17

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.