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Finding the Third Proportional to 493,384 and 1,061,610

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Solution

The third proportional to 493,384 and 1,061,610 is: 2,284,256.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,384 : 1,061,610 = 1,061,610 : x
  2. Step 2: Convert to fraction form
    493,384/1,061,610 = 1,061,610/x
  3. Step 3: Cross multiply
    493,384x = 1,061,610 × 1,061,610
  4. Step 4: Simplify right side
    493,384x = 1,127,015,792,100
  5. Step 5: Solve for x
    x = 1,127,015,792,100/493,384
  6. Step 6: Final answer
    x = 2,284,256.87

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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.