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Finding the Third Proportional to 970,686 and 1,469,606

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Solution

The third proportional to 970,686 and 1,469,606 is: 2,224,964.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,686 : 1,469,606 = 1,469,606 : x
  2. Step 2: Convert to fraction form
    970,686/1,469,606 = 1,469,606/x
  3. Step 3: Cross multiply
    970,686x = 1,469,606 × 1,469,606
  4. Step 4: Simplify right side
    970,686x = 2,159,741,795,236
  5. Step 5: Solve for x
    x = 2,159,741,795,236/970,686
  6. Step 6: Final answer
    x = 2,224,964.40

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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.