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Finding the Third Proportional to 844,200 and 1,207,125

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Solution

The third proportional to 844,200 and 1,207,125 is: 1,726,072.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    844,200 : 1,207,125 = 1,207,125 : x
  2. Step 2: Convert to fraction form
    844,200/1,207,125 = 1,207,125/x
  3. Step 3: Cross multiply
    844,200x = 1,207,125 × 1,207,125
  4. Step 4: Simplify right side
    844,200x = 1,457,150,765,625
  5. Step 5: Solve for x
    x = 1,457,150,765,625/844,200
  6. Step 6: Final answer
    x = 1,726,072.93

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.