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Finding the Third Proportional to 831,212 and 1,795,336

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Solution

The third proportional to 831,212 and 1,795,336 is: 3,877,748.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,212 : 1,795,336 = 1,795,336 : x
  2. Step 2: Convert to fraction form
    831,212/1,795,336 = 1,795,336/x
  3. Step 3: Cross multiply
    831,212x = 1,795,336 × 1,795,336
  4. Step 4: Simplify right side
    831,212x = 3,223,231,352,896
  5. Step 5: Solve for x
    x = 3,223,231,352,896/831,212
  6. Step 6: Final answer
    x = 3,877,748.82

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.