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Finding the Third Proportional to 541,203 and 1,174,631

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Solution

The third proportional to 541,203 and 1,174,631 is: 2,549,427.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,203 : 1,174,631 = 1,174,631 : x
  2. Step 2: Convert to fraction form
    541,203/1,174,631 = 1,174,631/x
  3. Step 3: Cross multiply
    541,203x = 1,174,631 × 1,174,631
  4. Step 4: Simplify right side
    541,203x = 1,379,757,986,161
  5. Step 5: Solve for x
    x = 1,379,757,986,161/541,203
  6. Step 6: Final answer
    x = 2,549,427.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.