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Finding the Third Proportional to 362,938 and 789,866

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Solution

The third proportional to 362,938 and 789,866 is: 1,718,994.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,938 : 789,866 = 789,866 : x
  2. Step 2: Convert to fraction form
    362,938/789,866 = 789,866/x
  3. Step 3: Cross multiply
    362,938x = 789,866 × 789,866
  4. Step 4: Simplify right side
    362,938x = 623,888,297,956
  5. Step 5: Solve for x
    x = 623,888,297,956/362,938
  6. Step 6: Final answer
    x = 1,718,994.15

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Why These Related Problems?

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