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Finding the Third Proportional to 533,178 and 1,126,296

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Solution

The third proportional to 533,178 and 1,126,296 is: 2,379,210.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,178 : 1,126,296 = 1,126,296 : x
  2. Step 2: Convert to fraction form
    533,178/1,126,296 = 1,126,296/x
  3. Step 3: Cross multiply
    533,178x = 1,126,296 × 1,126,296
  4. Step 4: Simplify right side
    533,178x = 1,268,542,679,616
  5. Step 5: Solve for x
    x = 1,268,542,679,616/533,178
  6. Step 6: Final answer
    x = 2,379,210.47

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.