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Finding the Third Proportional to 831,732 and 1,796,208

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Solution

The third proportional to 831,732 and 1,796,208 is: 3,879,089.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,732 : 1,796,208 = 1,796,208 : x
  2. Step 2: Convert to fraction form
    831,732/1,796,208 = 1,796,208/x
  3. Step 3: Cross multiply
    831,732x = 1,796,208 × 1,796,208
  4. Step 4: Simplify right side
    831,732x = 3,226,363,179,264
  5. Step 5: Solve for x
    x = 3,226,363,179,264/831,732
  6. Step 6: Final answer
    x = 3,879,089.87

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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.