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Finding the Third Proportional to 789,832 and 1,705,519

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Solution

The third proportional to 789,832 and 1,705,519 is: 3,682,802.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,832 : 1,705,519 = 1,705,519 : x
  2. Step 2: Convert to fraction form
    789,832/1,705,519 = 1,705,519/x
  3. Step 3: Cross multiply
    789,832x = 1,705,519 × 1,705,519
  4. Step 4: Simplify right side
    789,832x = 2,908,795,059,361
  5. Step 5: Solve for x
    x = 2,908,795,059,361/789,832
  6. Step 6: Final answer
    x = 3,682,802.24

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.