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Finding the Third Proportional to 843,198 and 1,990,419

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Solution

The third proportional to 843,198 and 1,990,419 is: 4,698,502.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,198 : 1,990,419 = 1,990,419 : x
  2. Step 2: Convert to fraction form
    843,198/1,990,419 = 1,990,419/x
  3. Step 3: Cross multiply
    843,198x = 1,990,419 × 1,990,419
  4. Step 4: Simplify right side
    843,198x = 3,961,767,795,561
  5. Step 5: Solve for x
    x = 3,961,767,795,561/843,198
  6. Step 6: Final answer
    x = 4,698,502.36

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.