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Finding the Third Proportional to 3,257,852 and 4,284,138

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Solution

The third proportional to 3,257,852 and 4,284,138 is: 5,633,723.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257,852 : 4,284,138 = 4,284,138 : x
  2. Step 2: Convert to fraction form
    3,257,852/4,284,138 = 4,284,138/x
  3. Step 3: Cross multiply
    3,257,852x = 4,284,138 × 4,284,138
  4. Step 4: Simplify right side
    3,257,852x = 18,353,838,403,044
  5. Step 5: Solve for x
    x = 18,353,838,403,044/3,257,852
  6. Step 6: Final answer
    x = 5,633,723.82

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.