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Finding the Third Proportional to 499,239 and 1,093,509

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Solution

The third proportional to 499,239 and 1,093,509 is: 2,395,169.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,239 : 1,093,509 = 1,093,509 : x
  2. Step 2: Convert to fraction form
    499,239/1,093,509 = 1,093,509/x
  3. Step 3: Cross multiply
    499,239x = 1,093,509 × 1,093,509
  4. Step 4: Simplify right side
    499,239x = 1,195,761,933,081
  5. Step 5: Solve for x
    x = 1,195,761,933,081/499,239
  6. Step 6: Final answer
    x = 2,395,169.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.