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Finding the Third Proportional to 601,672 and 902,638

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Solution

The third proportional to 601,672 and 902,638 is: 1,354,152.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,672 : 902,638 = 902,638 : x
  2. Step 2: Convert to fraction form
    601,672/902,638 = 902,638/x
  3. Step 3: Cross multiply
    601,672x = 902,638 × 902,638
  4. Step 4: Simplify right side
    601,672x = 814,755,359,044
  5. Step 5: Solve for x
    x = 814,755,359,044/601,672
  6. Step 6: Final answer
    x = 1,354,152.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.