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Finding the Third Proportional to 511,950 and 1,117,064

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Solution

The third proportional to 511,950 and 1,117,064 is: 2,437,409.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,950 : 1,117,064 = 1,117,064 : x
  2. Step 2: Convert to fraction form
    511,950/1,117,064 = 1,117,064/x
  3. Step 3: Cross multiply
    511,950x = 1,117,064 × 1,117,064
  4. Step 4: Simplify right side
    511,950x = 1,247,831,980,096
  5. Step 5: Solve for x
    x = 1,247,831,980,096/511,950
  6. Step 6: Final answer
    x = 2,437,409.86

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.