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Finding the Third Proportional to 1,186,542 and 2,457,198

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Solution

The third proportional to 1,186,542 and 2,457,198 is: 5,088,586.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186,542 : 2,457,198 = 2,457,198 : x
  2. Step 2: Convert to fraction form
    1,186,542/2,457,198 = 2,457,198/x
  3. Step 3: Cross multiply
    1,186,542x = 2,457,198 × 2,457,198
  4. Step 4: Simplify right side
    1,186,542x = 6,037,822,011,204
  5. Step 5: Solve for x
    x = 6,037,822,011,204/1,186,542
  6. Step 6: Final answer
    x = 5,088,586.84

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.