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Finding the Third Proportional to 749,544 and 1,198,836

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Solution

The third proportional to 749,544 and 1,198,836 is: 1,917,442.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,544 : 1,198,836 = 1,198,836 : x
  2. Step 2: Convert to fraction form
    749,544/1,198,836 = 1,198,836/x
  3. Step 3: Cross multiply
    749,544x = 1,198,836 × 1,198,836
  4. Step 4: Simplify right side
    749,544x = 1,437,207,754,896
  5. Step 5: Solve for x
    x = 1,437,207,754,896/749,544
  6. Step 6: Final answer
    x = 1,917,442.81

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.