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Finding the Third Proportional to 543,714 and 1,264,116

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Solution

The third proportional to 543,714 and 1,264,116 is: 2,939,025.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,714 : 1,264,116 = 1,264,116 : x
  2. Step 2: Convert to fraction form
    543,714/1,264,116 = 1,264,116/x
  3. Step 3: Cross multiply
    543,714x = 1,264,116 × 1,264,116
  4. Step 4: Simplify right side
    543,714x = 1,597,989,261,456
  5. Step 5: Solve for x
    x = 1,597,989,261,456/543,714
  6. Step 6: Final answer
    x = 2,939,025.41

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.