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Finding the Third Proportional to 609,396 and 1,297,524

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Solution

The third proportional to 609,396 and 1,297,524 is: 2,762,683.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,396 : 1,297,524 = 1,297,524 : x
  2. Step 2: Convert to fraction form
    609,396/1,297,524 = 1,297,524/x
  3. Step 3: Cross multiply
    609,396x = 1,297,524 × 1,297,524
  4. Step 4: Simplify right side
    609,396x = 1,683,568,530,576
  5. Step 5: Solve for x
    x = 1,683,568,530,576/609,396
  6. Step 6: Final answer
    x = 2,762,683.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.