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Finding the Third Proportional to 511,782 and 1,189,743

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Solution

The third proportional to 511,782 and 1,189,743 is: 2,765,803.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,782 : 1,189,743 = 1,189,743 : x
  2. Step 2: Convert to fraction form
    511,782/1,189,743 = 1,189,743/x
  3. Step 3: Cross multiply
    511,782x = 1,189,743 × 1,189,743
  4. Step 4: Simplify right side
    511,782x = 1,415,488,406,049
  5. Step 5: Solve for x
    x = 1,415,488,406,049/511,782
  6. Step 6: Final answer
    x = 2,765,803.42

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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.