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Finding the Third Proportional to 681,876 and 1,434,222

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Solution

The third proportional to 681,876 and 1,434,222 is: 3,016,666.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,876 : 1,434,222 = 1,434,222 : x
  2. Step 2: Convert to fraction form
    681,876/1,434,222 = 1,434,222/x
  3. Step 3: Cross multiply
    681,876x = 1,434,222 × 1,434,222
  4. Step 4: Simplify right side
    681,876x = 2,056,992,745,284
  5. Step 5: Solve for x
    x = 2,056,992,745,284/681,876
  6. Step 6: Final answer
    x = 3,016,666.88

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.