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Finding the Third Proportional to 674,904 and 949,212

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Solution

The third proportional to 674,904 and 949,212 is: 1,335,009.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,904 : 949,212 = 949,212 : x
  2. Step 2: Convert to fraction form
    674,904/949,212 = 949,212/x
  3. Step 3: Cross multiply
    674,904x = 949,212 × 949,212
  4. Step 4: Simplify right side
    674,904x = 901,003,420,944
  5. Step 5: Solve for x
    x = 901,003,420,944/674,904
  6. Step 6: Final answer
    x = 1,335,009.75

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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.