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Finding the Third Proportional to 946,885 and 1,279,719.50

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Solution

The third proportional to 946,885 and 1,279,719.50 is: 1,729,546.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,885 : 1,279,719.50 = 1,279,719.50 : x
  2. Step 2: Convert to fraction form
    946,885/1,279,719.50 = 1,279,719.50/x
  3. Step 3: Cross multiply
    946,885x = 1,279,719.50 × 1,279,719.50
  4. Step 4: Simplify right side
    946,885x = 1,637,681,998,680.25
  5. Step 5: Solve for x
    x = 1,637,681,998,680.25/946,885
  6. Step 6: Final answer
    x = 1,729,546.88

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.