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Finding the Third Proportional to 850,195 and 1,796,361.50

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Solution

The third proportional to 850,195 and 1,796,361.50 is: 3,795,499.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    850,195 : 1,796,361.50 = 1,796,361.50 : x
  2. Step 2: Convert to fraction form
    850,195/1,796,361.50 = 1,796,361.50/x
  3. Step 3: Cross multiply
    850,195x = 1,796,361.50 × 1,796,361.50
  4. Step 4: Simplify right side
    850,195x = 3,226,914,638,682.25
  5. Step 5: Solve for x
    x = 3,226,914,638,682.25/850,195
  6. Step 6: Final answer
    x = 3,795,499.43

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.