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Finding the Third Proportional to 445,997 and 961,978

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Solution

The third proportional to 445,997 and 961,978 is: 2,074,905.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,997 : 961,978 = 961,978 : x
  2. Step 2: Convert to fraction form
    445,997/961,978 = 961,978/x
  3. Step 3: Cross multiply
    445,997x = 961,978 × 961,978
  4. Step 4: Simplify right side
    445,997x = 925,401,672,484
  5. Step 5: Solve for x
    x = 925,401,672,484/445,997
  6. Step 6: Final answer
    x = 2,074,905.60

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.