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Finding the Third Proportional to 775,996.50 and 1,197,219

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Solution

The third proportional to 775,996.50 and 1,197,219 is: 1,847,087.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,996.50 : 1,197,219 = 1,197,219 : x
  2. Step 2: Convert to fraction form
    775,996.50/1,197,219 = 1,197,219/x
  3. Step 3: Cross multiply
    775,996.50x = 1,197,219 × 1,197,219
  4. Step 4: Simplify right side
    775,996.50x = 1,433,333,333,961
  5. Step 5: Solve for x
    x = 1,433,333,333,961/775,996.50
  6. Step 6: Final answer
    x = 1,847,087.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.