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Finding the Third Proportional to 646,682 and 978,966

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Solution

The third proportional to 646,682 and 978,966 is: 1,481,987.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,682 : 978,966 = 978,966 : x
  2. Step 2: Convert to fraction form
    646,682/978,966 = 978,966/x
  3. Step 3: Cross multiply
    646,682x = 978,966 × 978,966
  4. Step 4: Simplify right side
    646,682x = 958,374,429,156
  5. Step 5: Solve for x
    x = 958,374,429,156/646,682
  6. Step 6: Final answer
    x = 1,481,987.17

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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.