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Finding the Third Proportional to 4,344,856 and 6,077,256

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Solution

The third proportional to 4,344,856 and 6,077,256 is: 8,500,406.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,344,856 : 6,077,256 = 6,077,256 : x
  2. Step 2: Convert to fraction form
    4,344,856/6,077,256 = 6,077,256/x
  3. Step 3: Cross multiply
    4,344,856x = 6,077,256 × 6,077,256
  4. Step 4: Simplify right side
    4,344,856x = 36,933,040,489,536
  5. Step 5: Solve for x
    x = 36,933,040,489,536/4,344,856
  6. Step 6: Final answer
    x = 8,500,406.11

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.