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Finding the Third Proportional to 785,351 and 1,184,573

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Solution

The third proportional to 785,351 and 1,184,573 is: 1,786,733.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,351 : 1,184,573 = 1,184,573 : x
  2. Step 2: Convert to fraction form
    785,351/1,184,573 = 1,184,573/x
  3. Step 3: Cross multiply
    785,351x = 1,184,573 × 1,184,573
  4. Step 4: Simplify right side
    785,351x = 1,403,213,192,329
  5. Step 5: Solve for x
    x = 1,403,213,192,329/785,351
  6. Step 6: Final answer
    x = 1,786,733.82

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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.