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Finding the Third Proportional to 640,980 and 978,420

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Solution

The third proportional to 640,980 and 978,420 is: 1,493,503.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,980 : 978,420 = 978,420 : x
  2. Step 2: Convert to fraction form
    640,980/978,420 = 978,420/x
  3. Step 3: Cross multiply
    640,980x = 978,420 × 978,420
  4. Step 4: Simplify right side
    640,980x = 957,305,696,400
  5. Step 5: Solve for x
    x = 957,305,696,400/640,980
  6. Step 6: Final answer
    x = 1,493,503.22

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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.