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Finding the Third Proportional to 831,206 and 1,795,029

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Solution

The third proportional to 831,206 and 1,795,029 is: 3,876,450.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,206 : 1,795,029 = 1,795,029 : x
  2. Step 2: Convert to fraction form
    831,206/1,795,029 = 1,795,029/x
  3. Step 3: Cross multiply
    831,206x = 1,795,029 × 1,795,029
  4. Step 4: Simplify right side
    831,206x = 3,222,129,110,841
  5. Step 5: Solve for x
    x = 3,222,129,110,841/831,206
  6. Step 6: Final answer
    x = 3,876,450.74

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Why These Related Problems?

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