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Finding the Third Proportional to 601,086 and 1,269,240

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Solution

The third proportional to 601,086 and 1,269,240 is: 2,680,099.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,086 : 1,269,240 = 1,269,240 : x
  2. Step 2: Convert to fraction form
    601,086/1,269,240 = 1,269,240/x
  3. Step 3: Cross multiply
    601,086x = 1,269,240 × 1,269,240
  4. Step 4: Simplify right side
    601,086x = 1,610,970,177,600
  5. Step 5: Solve for x
    x = 1,610,970,177,600/601,086
  6. Step 6: Final answer
    x = 2,680,099.32

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.