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Finding the Third Proportional to 801,686 and 1,176,235

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Solution

The third proportional to 801,686 and 1,176,235 is: 1,725,773.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,686 : 1,176,235 = 1,176,235 : x
  2. Step 2: Convert to fraction form
    801,686/1,176,235 = 1,176,235/x
  3. Step 3: Cross multiply
    801,686x = 1,176,235 × 1,176,235
  4. Step 4: Simplify right side
    801,686x = 1,383,528,775,225
  5. Step 5: Solve for x
    x = 1,383,528,775,225/801,686
  6. Step 6: Final answer
    x = 1,725,773.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.