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Finding the Third Proportional to 1,034,376.75 and 2,193,147

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Solution

The third proportional to 1,034,376.75 and 2,193,147 is: 4,650,040.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034,376.75 : 2,193,147 = 2,193,147 : x
  2. Step 2: Convert to fraction form
    1,034,376.75/2,193,147 = 2,193,147/x
  3. Step 3: Cross multiply
    1,034,376.75x = 2,193,147 × 2,193,147
  4. Step 4: Simplify right side
    1,034,376.75x = 4,809,893,763,609
  5. Step 5: Solve for x
    x = 4,809,893,763,609/1,034,376.75
  6. Step 6: Final answer
    x = 4,650,040.48

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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.