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Finding the Third Proportional to 465,997 and 999,961

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Solution

The third proportional to 465,997 and 999,961 is: 2,145,769.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,997 : 999,961 = 999,961 : x
  2. Step 2: Convert to fraction form
    465,997/999,961 = 999,961/x
  3. Step 3: Cross multiply
    465,997x = 999,961 × 999,961
  4. Step 4: Simplify right side
    465,997x = 999,922,001,521
  5. Step 5: Solve for x
    x = 999,922,001,521/465,997
  6. Step 6: Final answer
    x = 2,145,769.18

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Why These Related Problems?

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