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Finding the Third Proportional to 624,193 and 942,851

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Solution

The third proportional to 624,193 and 942,851 is: 1,424,187.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,193 : 942,851 = 942,851 : x
  2. Step 2: Convert to fraction form
    624,193/942,851 = 942,851/x
  3. Step 3: Cross multiply
    624,193x = 942,851 × 942,851
  4. Step 4: Simplify right side
    624,193x = 888,968,008,201
  5. Step 5: Solve for x
    x = 888,968,008,201/624,193
  6. Step 6: Final answer
    x = 1,424,187.72

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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.