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Finding the Third Proportional to 1,786,520 and 3,894,256

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Solution

The third proportional to 1,786,520 and 3,894,256 is: 8,488,698.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786,520 : 3,894,256 = 3,894,256 : x
  2. Step 2: Convert to fraction form
    1,786,520/3,894,256 = 3,894,256/x
  3. Step 3: Cross multiply
    1,786,520x = 3,894,256 × 3,894,256
  4. Step 4: Simplify right side
    1,786,520x = 15,165,229,793,536
  5. Step 5: Solve for x
    x = 15,165,229,793,536/1,786,520
  6. Step 6: Final answer
    x = 8,488,698.58

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.