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Finding the Third Proportional to 675,981 and 1,052,769.75

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Solution

The third proportional to 675,981 and 1,052,769.75 is: 1,639,578.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,981 : 1,052,769.75 = 1,052,769.75 : x
  2. Step 2: Convert to fraction form
    675,981/1,052,769.75 = 1,052,769.75/x
  3. Step 3: Cross multiply
    675,981x = 1,052,769.75 × 1,052,769.75
  4. Step 4: Simplify right side
    675,981x = 1,108,324,146,515.06
  5. Step 5: Solve for x
    x = 1,108,324,146,515.06/675,981
  6. Step 6: Final answer
    x = 1,639,578.84

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.