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Finding the Third Proportional to 2,906,497.50 and 6,257,199

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Solution

The third proportional to 2,906,497.50 and 6,257,199 is: 13,470,694.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906,497.50 : 6,257,199 = 6,257,199 : x
  2. Step 2: Convert to fraction form
    2,906,497.50/6,257,199 = 6,257,199/x
  3. Step 3: Cross multiply
    2,906,497.50x = 6,257,199 × 6,257,199
  4. Step 4: Simplify right side
    2,906,497.50x = 39,152,539,325,601
  5. Step 5: Solve for x
    x = 39,152,539,325,601/2,906,497.50
  6. Step 6: Final answer
    x = 13,470,694.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.