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Finding the Third Proportional to 650,896 and 978,227

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Solution

The third proportional to 650,896 and 978,227 is: 1,470,170.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,896 : 978,227 = 978,227 : x
  2. Step 2: Convert to fraction form
    650,896/978,227 = 978,227/x
  3. Step 3: Cross multiply
    650,896x = 978,227 × 978,227
  4. Step 4: Simplify right side
    650,896x = 956,928,063,529
  5. Step 5: Solve for x
    x = 956,928,063,529/650,896
  6. Step 6: Final answer
    x = 1,470,170.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.