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Finding the Third Proportional to 2,786,197.50 and 5,690,472.75

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Solution

The third proportional to 2,786,197.50 and 5,690,472.75 is: 11,622,105.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786,197.50 : 5,690,472.75 = 5,690,472.75 : x
  2. Step 2: Convert to fraction form
    2,786,197.50/5,690,472.75 = 5,690,472.75/x
  3. Step 3: Cross multiply
    2,786,197.50x = 5,690,472.75 × 5,690,472.75
  4. Step 4: Simplify right side
    2,786,197.50x = 32,381,480,118,492.56
  5. Step 5: Solve for x
    x = 32,381,480,118,492.56/2,786,197.50
  6. Step 6: Final answer
    x = 11,622,105.08

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.