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Finding the Third Proportional to 946,982 and 1,275,885

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Solution

The third proportional to 946,982 and 1,275,885 is: 1,719,021.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,982 : 1,275,885 = 1,275,885 : x
  2. Step 2: Convert to fraction form
    946,982/1,275,885 = 1,275,885/x
  3. Step 3: Cross multiply
    946,982x = 1,275,885 × 1,275,885
  4. Step 4: Simplify right side
    946,982x = 1,627,882,533,225
  5. Step 5: Solve for x
    x = 1,627,882,533,225/946,982
  6. Step 6: Final answer
    x = 1,719,021.62

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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.