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Finding the Third Proportional to 591,840 and 902,512

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Solution

The third proportional to 591,840 and 902,512 is: 1,376,263.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,840 : 902,512 = 902,512 : x
  2. Step 2: Convert to fraction form
    591,840/902,512 = 902,512/x
  3. Step 3: Cross multiply
    591,840x = 902,512 × 902,512
  4. Step 4: Simplify right side
    591,840x = 814,527,910,144
  5. Step 5: Solve for x
    x = 814,527,910,144/591,840
  6. Step 6: Final answer
    x = 1,376,263.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.