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Finding the Third Proportional to 646,504 and 978,754

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Solution

The third proportional to 646,504 and 978,754 is: 1,481,753.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,504 : 978,754 = 978,754 : x
  2. Step 2: Convert to fraction form
    646,504/978,754 = 978,754/x
  3. Step 3: Cross multiply
    646,504x = 978,754 × 978,754
  4. Step 4: Simplify right side
    646,504x = 957,959,392,516
  5. Step 5: Solve for x
    x = 957,959,392,516/646,504
  6. Step 6: Final answer
    x = 1,481,753.23

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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.