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Finding the Third Proportional to 525,285 and 1,186,974

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Solution

The third proportional to 525,285 and 1,186,974 is: 2,682,176.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,285 : 1,186,974 = 1,186,974 : x
  2. Step 2: Convert to fraction form
    525,285/1,186,974 = 1,186,974/x
  3. Step 3: Cross multiply
    525,285x = 1,186,974 × 1,186,974
  4. Step 4: Simplify right side
    525,285x = 1,408,907,276,676
  5. Step 5: Solve for x
    x = 1,408,907,276,676/525,285
  6. Step 6: Final answer
    x = 2,682,176.87

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.