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Finding the Third Proportional to 465,997 and 999,962

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Solution

The third proportional to 465,997 and 999,962 is: 2,145,773.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,997 : 999,962 = 999,962 : x
  2. Step 2: Convert to fraction form
    465,997/999,962 = 999,962/x
  3. Step 3: Cross multiply
    465,997x = 999,962 × 999,962
  4. Step 4: Simplify right side
    465,997x = 999,924,001,444
  5. Step 5: Solve for x
    x = 999,924,001,444/465,997
  6. Step 6: Final answer
    x = 2,145,773.47

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.