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Finding the Third Proportional to 523,200 and 1,164,832

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Solution

The third proportional to 523,200 and 1,164,832 is: 2,593,336.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,200 : 1,164,832 = 1,164,832 : x
  2. Step 2: Convert to fraction form
    523,200/1,164,832 = 1,164,832/x
  3. Step 3: Cross multiply
    523,200x = 1,164,832 × 1,164,832
  4. Step 4: Simplify right side
    523,200x = 1,356,833,588,224
  5. Step 5: Solve for x
    x = 1,356,833,588,224/523,200
  6. Step 6: Final answer
    x = 2,593,336.37

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.