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Finding the Third Proportional to 621,099 and 940,968

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Solution

The third proportional to 621,099 and 940,968 is: 1,425,571.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,099 : 940,968 = 940,968 : x
  2. Step 2: Convert to fraction form
    621,099/940,968 = 940,968/x
  3. Step 3: Cross multiply
    621,099x = 940,968 × 940,968
  4. Step 4: Simplify right side
    621,099x = 885,420,777,024
  5. Step 5: Solve for x
    x = 885,420,777,024/621,099
  6. Step 6: Final answer
    x = 1,425,571.09

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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.