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Finding the Third Proportional to 606,908 and 874,214

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Solution

The third proportional to 606,908 and 874,214 is: 1,259,252.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,908 : 874,214 = 874,214 : x
  2. Step 2: Convert to fraction form
    606,908/874,214 = 874,214/x
  3. Step 3: Cross multiply
    606,908x = 874,214 × 874,214
  4. Step 4: Simplify right side
    606,908x = 764,250,117,796
  5. Step 5: Solve for x
    x = 764,250,117,796/606,908
  6. Step 6: Final answer
    x = 1,259,252.01

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.