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Finding the Third Proportional to 3,257,854 and 4,284,141

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Solution

The third proportional to 3,257,854 and 4,284,141 is: 5,633,728.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257,854 : 4,284,141 = 4,284,141 : x
  2. Step 2: Convert to fraction form
    3,257,854/4,284,141 = 4,284,141/x
  3. Step 3: Cross multiply
    3,257,854x = 4,284,141 × 4,284,141
  4. Step 4: Simplify right side
    3,257,854x = 18,353,864,107,881
  5. Step 5: Solve for x
    x = 18,353,864,107,881/3,257,854
  6. Step 6: Final answer
    x = 5,633,728.25

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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.