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Finding the Third Proportional to 831,539 and 1,796,026

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Solution

The third proportional to 831,539 and 1,796,026 is: 3,879,203.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,539 : 1,796,026 = 1,796,026 : x
  2. Step 2: Convert to fraction form
    831,539/1,796,026 = 1,796,026/x
  3. Step 3: Cross multiply
    831,539x = 1,796,026 × 1,796,026
  4. Step 4: Simplify right side
    831,539x = 3,225,709,392,676
  5. Step 5: Solve for x
    x = 3,225,709,392,676/831,539
  6. Step 6: Final answer
    x = 3,879,203.97

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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.