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Finding the Third Proportional to 646,674 and 978,956

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Solution

The third proportional to 646,674 and 978,956 is: 1,481,975.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,674 : 978,956 = 978,956 : x
  2. Step 2: Convert to fraction form
    646,674/978,956 = 978,956/x
  3. Step 3: Cross multiply
    646,674x = 978,956 × 978,956
  4. Step 4: Simplify right side
    646,674x = 958,354,849,936
  5. Step 5: Solve for x
    x = 958,354,849,936/646,674
  6. Step 6: Final answer
    x = 1,481,975.23

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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.