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Finding the Third Proportional to 794,400 and 1,176,165

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Solution

The third proportional to 794,400 and 1,176,165 is: 1,741,394.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    794,400 : 1,176,165 = 1,176,165 : x
  2. Step 2: Convert to fraction form
    794,400/1,176,165 = 1,176,165/x
  3. Step 3: Cross multiply
    794,400x = 1,176,165 × 1,176,165
  4. Step 4: Simplify right side
    794,400x = 1,383,364,107,225
  5. Step 5: Solve for x
    x = 1,383,364,107,225/794,400
  6. Step 6: Final answer
    x = 1,741,394.90

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.