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Finding the Third Proportional to 511,488 and 1,194,672

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Solution

The third proportional to 511,488 and 1,194,672 is: 2,790,370.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,488 : 1,194,672 = 1,194,672 : x
  2. Step 2: Convert to fraction form
    511,488/1,194,672 = 1,194,672/x
  3. Step 3: Cross multiply
    511,488x = 1,194,672 × 1,194,672
  4. Step 4: Simplify right side
    511,488x = 1,427,241,187,584
  5. Step 5: Solve for x
    x = 1,427,241,187,584/511,488
  6. Step 6: Final answer
    x = 2,790,370.82

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.