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Finding the Third Proportional to 640,934 and 978,350

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Solution

The third proportional to 640,934 and 978,350 is: 1,493,396.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,934 : 978,350 = 978,350 : x
  2. Step 2: Convert to fraction form
    640,934/978,350 = 978,350/x
  3. Step 3: Cross multiply
    640,934x = 978,350 × 978,350
  4. Step 4: Simplify right side
    640,934x = 957,168,722,500
  5. Step 5: Solve for x
    x = 957,168,722,500/640,934
  6. Step 6: Final answer
    x = 1,493,396.70

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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.