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Finding the Third Proportional to 498,451 and 1,093,403

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Solution

The third proportional to 498,451 and 1,093,403 is: 2,398,490.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,451 : 1,093,403 = 1,093,403 : x
  2. Step 2: Convert to fraction form
    498,451/1,093,403 = 1,093,403/x
  3. Step 3: Cross multiply
    498,451x = 1,093,403 × 1,093,403
  4. Step 4: Simplify right side
    498,451x = 1,195,530,120,409
  5. Step 5: Solve for x
    x = 1,195,530,120,409/498,451
  6. Step 6: Final answer
    x = 2,398,490.77

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.