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Finding the Third Proportional to 617,978 and 954,965

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Solution

The third proportional to 617,978 and 954,965 is: 1,475,712.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,978 : 954,965 = 954,965 : x
  2. Step 2: Convert to fraction form
    617,978/954,965 = 954,965/x
  3. Step 3: Cross multiply
    617,978x = 954,965 × 954,965
  4. Step 4: Simplify right side
    617,978x = 911,958,151,225
  5. Step 5: Solve for x
    x = 911,958,151,225/617,978
  6. Step 6: Final answer
    x = 1,475,712.97

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.