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Finding the Third Proportional to 789,398 and 1,729,030

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Solution

The third proportional to 789,398 and 1,729,030 is: 3,787,119.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,398 : 1,729,030 = 1,729,030 : x
  2. Step 2: Convert to fraction form
    789,398/1,729,030 = 1,729,030/x
  3. Step 3: Cross multiply
    789,398x = 1,729,030 × 1,729,030
  4. Step 4: Simplify right side
    789,398x = 2,989,544,740,900
  5. Step 5: Solve for x
    x = 2,989,544,740,900/789,398
  6. Step 6: Final answer
    x = 3,787,119.73

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.