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Finding the Third Proportional to 789,388 and 1,729,008

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Solution

The third proportional to 789,388 and 1,729,008 is: 3,787,071.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,388 : 1,729,008 = 1,729,008 : x
  2. Step 2: Convert to fraction form
    789,388/1,729,008 = 1,729,008/x
  3. Step 3: Cross multiply
    789,388x = 1,729,008 × 1,729,008
  4. Step 4: Simplify right side
    789,388x = 2,989,468,664,064
  5. Step 5: Solve for x
    x = 2,989,468,664,064/789,388
  6. Step 6: Final answer
    x = 3,787,071.33

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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.