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Finding the Third Proportional to 680,494 and 1,485,504

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Solution

The third proportional to 680,494 and 1,485,504 is: 3,242,823.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,494 : 1,485,504 = 1,485,504 : x
  2. Step 2: Convert to fraction form
    680,494/1,485,504 = 1,485,504/x
  3. Step 3: Cross multiply
    680,494x = 1,485,504 × 1,485,504
  4. Step 4: Simplify right side
    680,494x = 2,206,722,134,016
  5. Step 5: Solve for x
    x = 2,206,722,134,016/680,494
  6. Step 6: Final answer
    x = 3,242,823.79

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.