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Finding the Third Proportional to 976,581.75 and 2,142,255.19

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Solution

The third proportional to 976,581.75 and 2,142,255.19 is: 4,699,306.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,581.75 : 2,142,255.19 = 2,142,255.19 : x
  2. Step 2: Convert to fraction form
    976,581.75/2,142,255.19 = 2,142,255.19/x
  3. Step 3: Cross multiply
    976,581.75x = 2,142,255.19 × 2,142,255.19
  4. Step 4: Simplify right side
    976,581.75x = 4,589,257,288,370.66
  5. Step 5: Solve for x
    x = 4,589,257,288,370.66/976,581.75
  6. Step 6: Final answer
    x = 4,699,306.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.