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Finding the Third Proportional to 493,904 and 1,061,446

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Solution

The third proportional to 493,904 and 1,061,446 is: 2,281,146.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,904 : 1,061,446 = 1,061,446 : x
  2. Step 2: Convert to fraction form
    493,904/1,061,446 = 1,061,446/x
  3. Step 3: Cross multiply
    493,904x = 1,061,446 × 1,061,446
  4. Step 4: Simplify right side
    493,904x = 1,126,667,610,916
  5. Step 5: Solve for x
    x = 1,126,667,610,916/493,904
  6. Step 6: Final answer
    x = 2,281,146.97

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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.