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Finding the Third Proportional to 789,390 and 1,729,014

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Solution

The third proportional to 789,390 and 1,729,014 is: 3,787,088.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,390 : 1,729,014 = 1,729,014 : x
  2. Step 2: Convert to fraction form
    789,390/1,729,014 = 1,729,014/x
  3. Step 3: Cross multiply
    789,390x = 1,729,014 × 1,729,014
  4. Step 4: Simplify right side
    789,390x = 2,989,489,412,196
  5. Step 5: Solve for x
    x = 2,989,489,412,196/789,390
  6. Step 6: Final answer
    x = 3,787,088.02

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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.