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Finding the Third Proportional to 547,974 and 859,824

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Solution

The third proportional to 547,974 and 859,824 is: 1,349,146.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,974 : 859,824 = 859,824 : x
  2. Step 2: Convert to fraction form
    547,974/859,824 = 859,824/x
  3. Step 3: Cross multiply
    547,974x = 859,824 × 859,824
  4. Step 4: Simplify right side
    547,974x = 739,297,310,976
  5. Step 5: Solve for x
    x = 739,297,310,976/547,974
  6. Step 6: Final answer
    x = 1,349,146.69

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.