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Finding the Third Proportional to 1,694,239.50 and 3,634,152

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Solution

The third proportional to 1,694,239.50 and 3,634,152 is: 7,795,273.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694,239.50 : 3,634,152 = 3,634,152 : x
  2. Step 2: Convert to fraction form
    1,694,239.50/3,634,152 = 3,634,152/x
  3. Step 3: Cross multiply
    1,694,239.50x = 3,634,152 × 3,634,152
  4. Step 4: Simplify right side
    1,694,239.50x = 13,207,060,759,104
  5. Step 5: Solve for x
    x = 13,207,060,759,104/1,694,239.50
  6. Step 6: Final answer
    x = 7,795,273.78

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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.