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Finding the Third Proportional to 452,743 and 942,611

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Solution

The third proportional to 452,743 and 942,611 is: 1,962,516.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,743 : 942,611 = 942,611 : x
  2. Step 2: Convert to fraction form
    452,743/942,611 = 942,611/x
  3. Step 3: Cross multiply
    452,743x = 942,611 × 942,611
  4. Step 4: Simplify right side
    452,743x = 888,515,497,321
  5. Step 5: Solve for x
    x = 888,515,497,321/452,743
  6. Step 6: Final answer
    x = 1,962,516.26

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.