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Finding the Third Proportional to 504,684.42 and 1,111,781.95

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Solution

The third proportional to 504,684.42 and 1,111,781.95 is: 2,449,172.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,684.42 : 1,111,781.95 = 1,111,781.95 : x
  2. Step 2: Convert to fraction form
    504,684.42/1,111,781.95 = 1,111,781.95/x
  3. Step 3: Cross multiply
    504,684.42x = 1,111,781.95 × 1,111,781.95
  4. Step 4: Simplify right side
    504,684.42x = 1,236,059,111,294.44
  5. Step 5: Solve for x
    x = 1,236,059,111,294.44/504,684.42
  6. Step 6: Final answer
    x = 2,449,172.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.