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Finding the Third Proportional to 646,676 and 978,961

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Solution

The third proportional to 646,676 and 978,961 is: 1,481,985.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,676 : 978,961 = 978,961 : x
  2. Step 2: Convert to fraction form
    646,676/978,961 = 978,961/x
  3. Step 3: Cross multiply
    646,676x = 978,961 × 978,961
  4. Step 4: Simplify right side
    646,676x = 958,364,639,521
  5. Step 5: Solve for x
    x = 958,364,639,521/646,676
  6. Step 6: Final answer
    x = 1,481,985.79

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.