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Finding the Third Proportional to 749,610 and 1,192,198

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Solution

The third proportional to 749,610 and 1,192,198 is: 1,896,100.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,610 : 1,192,198 = 1,192,198 : x
  2. Step 2: Convert to fraction form
    749,610/1,192,198 = 1,192,198/x
  3. Step 3: Cross multiply
    749,610x = 1,192,198 × 1,192,198
  4. Step 4: Simplify right side
    749,610x = 1,421,336,071,204
  5. Step 5: Solve for x
    x = 1,421,336,071,204/749,610
  6. Step 6: Final answer
    x = 1,896,100.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.