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Finding the Third Proportional to 601,094 and 1,269,256

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Solution

The third proportional to 601,094 and 1,269,256 is: 2,680,131.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,094 : 1,269,256 = 1,269,256 : x
  2. Step 2: Convert to fraction form
    601,094/1,269,256 = 1,269,256/x
  3. Step 3: Cross multiply
    601,094x = 1,269,256 × 1,269,256
  4. Step 4: Simplify right side
    601,094x = 1,611,010,793,536
  5. Step 5: Solve for x
    x = 1,611,010,793,536/601,094
  6. Step 6: Final answer
    x = 2,680,131.22

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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.