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Finding the Third Proportional to 480,546 and 1,057,016

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Solution

The third proportional to 480,546 and 1,057,016 is: 2,325,027.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,546 : 1,057,016 = 1,057,016 : x
  2. Step 2: Convert to fraction form
    480,546/1,057,016 = 1,057,016/x
  3. Step 3: Cross multiply
    480,546x = 1,057,016 × 1,057,016
  4. Step 4: Simplify right side
    480,546x = 1,117,282,824,256
  5. Step 5: Solve for x
    x = 1,117,282,824,256/480,546
  6. Step 6: Final answer
    x = 2,325,027.83

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.