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Finding the Third Proportional to 740,801 and 1,121,529

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Solution

The third proportional to 740,801 and 1,121,529 is: 1,697,928.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,801 : 1,121,529 = 1,121,529 : x
  2. Step 2: Convert to fraction form
    740,801/1,121,529 = 1,121,529/x
  3. Step 3: Cross multiply
    740,801x = 1,121,529 × 1,121,529
  4. Step 4: Simplify right side
    740,801x = 1,257,827,297,841
  5. Step 5: Solve for x
    x = 1,257,827,297,841/740,801
  6. Step 6: Final answer
    x = 1,697,928.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.