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Finding the Third Proportional to 511,654.50 and 1,085,649

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Solution

The third proportional to 511,654.50 and 1,085,649 is: 2,303,573.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,654.50 : 1,085,649 = 1,085,649 : x
  2. Step 2: Convert to fraction form
    511,654.50/1,085,649 = 1,085,649/x
  3. Step 3: Cross multiply
    511,654.50x = 1,085,649 × 1,085,649
  4. Step 4: Simplify right side
    511,654.50x = 1,178,633,751,201
  5. Step 5: Solve for x
    x = 1,178,633,751,201/511,654.50
  6. Step 6: Final answer
    x = 2,303,573.51

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.