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Finding the Third Proportional to 831,728 and 1,796,200

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Solution

The third proportional to 831,728 and 1,796,200 is: 3,879,073.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,728 : 1,796,200 = 1,796,200 : x
  2. Step 2: Convert to fraction form
    831,728/1,796,200 = 1,796,200/x
  3. Step 3: Cross multiply
    831,728x = 1,796,200 × 1,796,200
  4. Step 4: Simplify right side
    831,728x = 3,226,334,440,000
  5. Step 5: Solve for x
    x = 3,226,334,440,000/831,728
  6. Step 6: Final answer
    x = 3,879,073.98

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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.