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Finding the Third Proportional to 541,714 and 1,166,678

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Solution

The third proportional to 541,714 and 1,166,678 is: 2,512,649.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,714 : 1,166,678 = 1,166,678 : x
  2. Step 2: Convert to fraction form
    541,714/1,166,678 = 1,166,678/x
  3. Step 3: Cross multiply
    541,714x = 1,166,678 × 1,166,678
  4. Step 4: Simplify right side
    541,714x = 1,361,137,555,684
  5. Step 5: Solve for x
    x = 1,361,137,555,684/541,714
  6. Step 6: Final answer
    x = 2,512,649.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.