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Finding the Third Proportional to 599,912 and 843,733

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Solution

The third proportional to 599,912 and 843,733 is: 1,186,649.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,912 : 843,733 = 843,733 : x
  2. Step 2: Convert to fraction form
    599,912/843,733 = 843,733/x
  3. Step 3: Cross multiply
    599,912x = 843,733 × 843,733
  4. Step 4: Simplify right side
    599,912x = 711,885,375,289
  5. Step 5: Solve for x
    x = 711,885,375,289/599,912
  6. Step 6: Final answer
    x = 1,186,649.67

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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.