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Finding the Third Proportional to 541,260 and 1,174,734

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Solution

The third proportional to 541,260 and 1,174,734 is: 2,549,606.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,260 : 1,174,734 = 1,174,734 : x
  2. Step 2: Convert to fraction form
    541,260/1,174,734 = 1,174,734/x
  3. Step 3: Cross multiply
    541,260x = 1,174,734 × 1,174,734
  4. Step 4: Simplify right side
    541,260x = 1,379,999,970,756
  5. Step 5: Solve for x
    x = 1,379,999,970,756/541,260
  6. Step 6: Final answer
    x = 2,549,606.42

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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.