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Finding the Third Proportional to 599,910 and 843,732

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Solution

The third proportional to 599,910 and 843,732 is: 1,186,650.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,910 : 843,732 = 843,732 : x
  2. Step 2: Convert to fraction form
    599,910/843,732 = 843,732/x
  3. Step 3: Cross multiply
    599,910x = 843,732 × 843,732
  4. Step 4: Simplify right side
    599,910x = 711,883,687,824
  5. Step 5: Solve for x
    x = 711,883,687,824/599,910
  6. Step 6: Final answer
    x = 1,186,650.81

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.