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Finding the Third Proportional to 831,608 and 1,796,164

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Solution

The third proportional to 831,608 and 1,796,164 is: 3,879,478.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,608 : 1,796,164 = 1,796,164 : x
  2. Step 2: Convert to fraction form
    831,608/1,796,164 = 1,796,164/x
  3. Step 3: Cross multiply
    831,608x = 1,796,164 × 1,796,164
  4. Step 4: Simplify right side
    831,608x = 3,226,205,114,896
  5. Step 5: Solve for x
    x = 3,226,205,114,896/831,608
  6. Step 6: Final answer
    x = 3,879,478.21

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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.