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Finding the Third Proportional to 785,761.50 and 1,686,219

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Solution

The third proportional to 785,761.50 and 1,686,219 is: 3,618,571.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,761.50 : 1,686,219 = 1,686,219 : x
  2. Step 2: Convert to fraction form
    785,761.50/1,686,219 = 1,686,219/x
  3. Step 3: Cross multiply
    785,761.50x = 1,686,219 × 1,686,219
  4. Step 4: Simplify right side
    785,761.50x = 2,843,334,515,961
  5. Step 5: Solve for x
    x = 2,843,334,515,961/785,761.50
  6. Step 6: Final answer
    x = 3,618,571.94

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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.