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Finding the Third Proportional to 511,092 and 1,111,668.75

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Solution

The third proportional to 511,092 and 1,111,668.75 is: 2,417,974.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,092 : 1,111,668.75 = 1,111,668.75 : x
  2. Step 2: Convert to fraction form
    511,092/1,111,668.75 = 1,111,668.75/x
  3. Step 3: Cross multiply
    511,092x = 1,111,668.75 × 1,111,668.75
  4. Step 4: Simplify right side
    511,092x = 1,235,807,409,726.56
  5. Step 5: Solve for x
    x = 1,235,807,409,726.56/511,092
  6. Step 6: Final answer
    x = 2,417,974.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.