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Finding the Third Proportional to 812,319 and 1,760,094

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Solution

The third proportional to 812,319 and 1,760,094 is: 3,813,687.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,319 : 1,760,094 = 1,760,094 : x
  2. Step 2: Convert to fraction form
    812,319/1,760,094 = 1,760,094/x
  3. Step 3: Cross multiply
    812,319x = 1,760,094 × 1,760,094
  4. Step 4: Simplify right side
    812,319x = 3,097,930,888,836
  5. Step 5: Solve for x
    x = 3,097,930,888,836/812,319
  6. Step 6: Final answer
    x = 3,813,687.59

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.