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Finding the Third Proportional to 850,218 and 1,796,406

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Solution

The third proportional to 850,218 and 1,796,406 is: 3,795,584.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    850,218 : 1,796,406 = 1,796,406 : x
  2. Step 2: Convert to fraction form
    850,218/1,796,406 = 1,796,406/x
  3. Step 3: Cross multiply
    850,218x = 1,796,406 × 1,796,406
  4. Step 4: Simplify right side
    850,218x = 3,227,074,516,836
  5. Step 5: Solve for x
    x = 3,227,074,516,836/850,218
  6. Step 6: Final answer
    x = 3,795,584.80

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