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Finding the Third Proportional to 640,948 and 978,372

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Solution

The third proportional to 640,948 and 978,372 is: 1,493,431.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,948 : 978,372 = 978,372 : x
  2. Step 2: Convert to fraction form
    640,948/978,372 = 978,372/x
  3. Step 3: Cross multiply
    640,948x = 978,372 × 978,372
  4. Step 4: Simplify right side
    640,948x = 957,211,770,384
  5. Step 5: Solve for x
    x = 957,211,770,384/640,948
  6. Step 6: Final answer
    x = 1,493,431.25

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.