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Finding the Third Proportional to 487,224 and 1,027,766

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Solution

The third proportional to 487,224 and 1,027,766 is: 2,168,002.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,224 : 1,027,766 = 1,027,766 : x
  2. Step 2: Convert to fraction form
    487,224/1,027,766 = 1,027,766/x
  3. Step 3: Cross multiply
    487,224x = 1,027,766 × 1,027,766
  4. Step 4: Simplify right side
    487,224x = 1,056,302,950,756
  5. Step 5: Solve for x
    x = 1,056,302,950,756/487,224
  6. Step 6: Final answer
    x = 2,168,002.71

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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.