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Finding the Third Proportional to 609,576 and 949,266

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Solution

The third proportional to 609,576 and 949,266 is: 1,478,250.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,576 : 949,266 = 949,266 : x
  2. Step 2: Convert to fraction form
    609,576/949,266 = 949,266/x
  3. Step 3: Cross multiply
    609,576x = 949,266 × 949,266
  4. Step 4: Simplify right side
    609,576x = 901,105,938,756
  5. Step 5: Solve for x
    x = 901,105,938,756/609,576
  6. Step 6: Final answer
    x = 1,478,250.36

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.