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Finding the Third Proportional to 493,094.25 and 1,061,093.25

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Solution

The third proportional to 493,094.25 and 1,061,093.25 is: 2,283,374.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,094.25 : 1,061,093.25 = 1,061,093.25 : x
  2. Step 2: Convert to fraction form
    493,094.25/1,061,093.25 = 1,061,093.25/x
  3. Step 3: Cross multiply
    493,094.25x = 1,061,093.25 × 1,061,093.25
  4. Step 4: Simplify right side
    493,094.25x = 1,125,918,885,195.56
  5. Step 5: Solve for x
    x = 1,125,918,885,195.56/493,094.25
  6. Step 6: Final answer
    x = 2,283,374.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.