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Finding the Third Proportional to 734,150 and 1,033,857

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Solution

The third proportional to 734,150 and 1,033,857 is: 1,455,915.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,150 : 1,033,857 = 1,033,857 : x
  2. Step 2: Convert to fraction form
    734,150/1,033,857 = 1,033,857/x
  3. Step 3: Cross multiply
    734,150x = 1,033,857 × 1,033,857
  4. Step 4: Simplify right side
    734,150x = 1,068,860,296,449
  5. Step 5: Solve for x
    x = 1,068,860,296,449/734,150
  6. Step 6: Final answer
    x = 1,455,915.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.