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Finding the Third Proportional to 789,409 and 1,705,096

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Solution

The third proportional to 789,409 and 1,705,096 is: 3,682,948.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,409 : 1,705,096 = 1,705,096 : x
  2. Step 2: Convert to fraction form
    789,409/1,705,096 = 1,705,096/x
  3. Step 3: Cross multiply
    789,409x = 1,705,096 × 1,705,096
  4. Step 4: Simplify right side
    789,409x = 2,907,352,369,216
  5. Step 5: Solve for x
    x = 2,907,352,369,216/789,409
  6. Step 6: Final answer
    x = 3,682,948.09

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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.