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Finding the Third Proportional to 774,786 and 1,686,812

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Solution

The third proportional to 774,786 and 1,686,812 is: 3,672,413.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,786 : 1,686,812 = 1,686,812 : x
  2. Step 2: Convert to fraction form
    774,786/1,686,812 = 1,686,812/x
  3. Step 3: Cross multiply
    774,786x = 1,686,812 × 1,686,812
  4. Step 4: Simplify right side
    774,786x = 2,845,334,723,344
  5. Step 5: Solve for x
    x = 2,845,334,723,344/774,786
  6. Step 6: Final answer
    x = 3,672,413.70

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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.