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Finding the Third Proportional to 661,247 and 989,305

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Solution

The third proportional to 661,247 and 989,305 is: 1,480,119.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,247 : 989,305 = 989,305 : x
  2. Step 2: Convert to fraction form
    661,247/989,305 = 989,305/x
  3. Step 3: Cross multiply
    661,247x = 989,305 × 989,305
  4. Step 4: Simplify right side
    661,247x = 978,724,383,025
  5. Step 5: Solve for x
    x = 978,724,383,025/661,247
  6. Step 6: Final answer
    x = 1,480,119.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.