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Finding the Third Proportional to 1,369,189 and 3,053,198

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Solution

The third proportional to 1,369,189 and 3,053,198 is: 6,808,423.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369,189 : 3,053,198 = 3,053,198 : x
  2. Step 2: Convert to fraction form
    1,369,189/3,053,198 = 3,053,198/x
  3. Step 3: Cross multiply
    1,369,189x = 3,053,198 × 3,053,198
  4. Step 4: Simplify right side
    1,369,189x = 9,322,018,027,204
  5. Step 5: Solve for x
    x = 9,322,018,027,204/1,369,189
  6. Step 6: Final answer
    x = 6,808,423.11

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.