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Finding the Third Proportional to 902,998 and 1,327,523

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Solution

The third proportional to 902,998 and 1,327,523 is: 1,951,629.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,998 : 1,327,523 = 1,327,523 : x
  2. Step 2: Convert to fraction form
    902,998/1,327,523 = 1,327,523/x
  3. Step 3: Cross multiply
    902,998x = 1,327,523 × 1,327,523
  4. Step 4: Simplify right side
    902,998x = 1,762,317,315,529
  5. Step 5: Solve for x
    x = 1,762,317,315,529/902,998
  6. Step 6: Final answer
    x = 1,951,629.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.