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Finding the Third Proportional to 541,036 and 1,157,116

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Solution

The third proportional to 541,036 and 1,157,116 is: 2,474,728.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,036 : 1,157,116 = 1,157,116 : x
  2. Step 2: Convert to fraction form
    541,036/1,157,116 = 1,157,116/x
  3. Step 3: Cross multiply
    541,036x = 1,157,116 × 1,157,116
  4. Step 4: Simplify right side
    541,036x = 1,338,917,437,456
  5. Step 5: Solve for x
    x = 1,338,917,437,456/541,036
  6. Step 6: Final answer
    x = 2,474,728.92

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.