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Finding the Third Proportional to 831,500 and 1,796,057

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Solution

The third proportional to 831,500 and 1,796,057 is: 3,879,519.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,500 : 1,796,057 = 1,796,057 : x
  2. Step 2: Convert to fraction form
    831,500/1,796,057 = 1,796,057/x
  3. Step 3: Cross multiply
    831,500x = 1,796,057 × 1,796,057
  4. Step 4: Simplify right side
    831,500x = 3,225,820,747,249
  5. Step 5: Solve for x
    x = 3,225,820,747,249/831,500
  6. Step 6: Final answer
    x = 3,879,519.84

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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.