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Finding the Third Proportional to 3,239,904 and 5,149,216

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Solution

The third proportional to 3,239,904 and 5,149,216 is: 8,183,707.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,239,904 : 5,149,216 = 5,149,216 : x
  2. Step 2: Convert to fraction form
    3,239,904/5,149,216 = 5,149,216/x
  3. Step 3: Cross multiply
    3,239,904x = 5,149,216 × 5,149,216
  4. Step 4: Simplify right side
    3,239,904x = 26,514,425,414,656
  5. Step 5: Solve for x
    x = 26,514,425,414,656/3,239,904
  6. Step 6: Final answer
    x = 8,183,707.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.