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Finding the Third Proportional to 774,745 and 1,686,676

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Solution

The third proportional to 774,745 and 1,686,676 is: 3,672,015.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,745 : 1,686,676 = 1,686,676 : x
  2. Step 2: Convert to fraction form
    774,745/1,686,676 = 1,686,676/x
  3. Step 3: Cross multiply
    774,745x = 1,686,676 × 1,686,676
  4. Step 4: Simplify right side
    774,745x = 2,844,875,928,976
  5. Step 5: Solve for x
    x = 2,844,875,928,976/774,745
  6. Step 6: Final answer
    x = 3,672,015.86

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.