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Finding the Third Proportional to 2,786,322 and 5,690,724

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Solution

The third proportional to 2,786,322 and 5,690,724 is: 11,622,612.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786,322 : 5,690,724 = 5,690,724 : x
  2. Step 2: Convert to fraction form
    2,786,322/5,690,724 = 5,690,724/x
  3. Step 3: Cross multiply
    2,786,322x = 5,690,724 × 5,690,724
  4. Step 4: Simplify right side
    2,786,322x = 32,384,339,644,176
  5. Step 5: Solve for x
    x = 32,384,339,644,176/2,786,322
  6. Step 6: Final answer
    x = 11,622,612.05

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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.