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Finding the Third Proportional to 541,156 and 1,168,976

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Solution

The third proportional to 541,156 and 1,168,976 is: 2,525,158.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,156 : 1,168,976 = 1,168,976 : x
  2. Step 2: Convert to fraction form
    541,156/1,168,976 = 1,168,976/x
  3. Step 3: Cross multiply
    541,156x = 1,168,976 × 1,168,976
  4. Step 4: Simplify right side
    541,156x = 1,366,504,888,576
  5. Step 5: Solve for x
    x = 1,366,504,888,576/541,156
  6. Step 6: Final answer
    x = 2,525,158.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.