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Finding the Third Proportional to 442,728 and 978,484

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Solution

The third proportional to 442,728 and 978,484 is: 2,162,571.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,728 : 978,484 = 978,484 : x
  2. Step 2: Convert to fraction form
    442,728/978,484 = 978,484/x
  3. Step 3: Cross multiply
    442,728x = 978,484 × 978,484
  4. Step 4: Simplify right side
    442,728x = 957,430,938,256
  5. Step 5: Solve for x
    x = 957,430,938,256/442,728
  6. Step 6: Final answer
    x = 2,162,571.46

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.