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Finding the Third Proportional to 851,662 and 1,828,874

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Solution

The third proportional to 851,662 and 1,828,874 is: 3,927,356.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,662 : 1,828,874 = 1,828,874 : x
  2. Step 2: Convert to fraction form
    851,662/1,828,874 = 1,828,874/x
  3. Step 3: Cross multiply
    851,662x = 1,828,874 × 1,828,874
  4. Step 4: Simplify right side
    851,662x = 3,344,780,107,876
  5. Step 5: Solve for x
    x = 3,344,780,107,876/851,662
  6. Step 6: Final answer
    x = 3,927,356.28

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.