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Finding the Third Proportional to 3,197,898.38 and 6,524,256

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Solution

The third proportional to 3,197,898.38 and 6,524,256 is: 13,310,590.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197,898.38 : 6,524,256 = 6,524,256 : x
  2. Step 2: Convert to fraction form
    3,197,898.38/6,524,256 = 6,524,256/x
  3. Step 3: Cross multiply
    3,197,898.38x = 6,524,256 × 6,524,256
  4. Step 4: Simplify right side
    3,197,898.38x = 42,565,916,353,536
  5. Step 5: Solve for x
    x = 42,565,916,353,536/3,197,898.38
  6. Step 6: Final answer
    x = 13,310,590.69

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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.