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Finding the Third Proportional to 511,414 and 1,076,744

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Solution

The third proportional to 511,414 and 1,076,744 is: 2,267,004.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,414 : 1,076,744 = 1,076,744 : x
  2. Step 2: Convert to fraction form
    511,414/1,076,744 = 1,076,744/x
  3. Step 3: Cross multiply
    511,414x = 1,076,744 × 1,076,744
  4. Step 4: Simplify right side
    511,414x = 1,159,377,641,536
  5. Step 5: Solve for x
    x = 1,159,377,641,536/511,414
  6. Step 6: Final answer
    x = 2,267,004.11

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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.