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Finding the Third Proportional to 785,100 and 1,245,192

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Solution

The third proportional to 785,100 and 1,245,192 is: 1,974,911.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,100 : 1,245,192 = 1,245,192 : x
  2. Step 2: Convert to fraction form
    785,100/1,245,192 = 1,245,192/x
  3. Step 3: Cross multiply
    785,100x = 1,245,192 × 1,245,192
  4. Step 4: Simplify right side
    785,100x = 1,550,503,116,864
  5. Step 5: Solve for x
    x = 1,550,503,116,864/785,100
  6. Step 6: Final answer
    x = 1,974,911.63

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.