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Finding the Third Proportional to 624,198 and 942,856

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Solution

The third proportional to 624,198 and 942,856 is: 1,424,191.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,198 : 942,856 = 942,856 : x
  2. Step 2: Convert to fraction form
    624,198/942,856 = 942,856/x
  3. Step 3: Cross multiply
    624,198x = 942,856 × 942,856
  4. Step 4: Simplify right side
    624,198x = 888,977,436,736
  5. Step 5: Solve for x
    x = 888,977,436,736/624,198
  6. Step 6: Final answer
    x = 1,424,191.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.