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Finding the Third Proportional to 589,885 and 902,019

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Solution

The third proportional to 589,885 and 902,019 is: 1,379,316.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,885 : 902,019 = 902,019 : x
  2. Step 2: Convert to fraction form
    589,885/902,019 = 902,019/x
  3. Step 3: Cross multiply
    589,885x = 902,019 × 902,019
  4. Step 4: Simplify right side
    589,885x = 813,638,276,361
  5. Step 5: Solve for x
    x = 813,638,276,361/589,885
  6. Step 6: Final answer
    x = 1,379,316.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.