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Finding the Third Proportional to 675,027 and 949,509

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Solution

The third proportional to 675,027 and 949,509 is: 1,335,601.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,027 : 949,509 = 949,509 : x
  2. Step 2: Convert to fraction form
    675,027/949,509 = 949,509/x
  3. Step 3: Cross multiply
    675,027x = 949,509 × 949,509
  4. Step 4: Simplify right side
    675,027x = 901,567,341,081
  5. Step 5: Solve for x
    x = 901,567,341,081/675,027
  6. Step 6: Final answer
    x = 1,335,601.90

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.