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Finding the Third Proportional to 780,986 and 1,705,180

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Solution

The third proportional to 780,986 and 1,705,180 is: 3,723,035.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,986 : 1,705,180 = 1,705,180 : x
  2. Step 2: Convert to fraction form
    780,986/1,705,180 = 1,705,180/x
  3. Step 3: Cross multiply
    780,986x = 1,705,180 × 1,705,180
  4. Step 4: Simplify right side
    780,986x = 2,907,638,832,400
  5. Step 5: Solve for x
    x = 2,907,638,832,400/780,986
  6. Step 6: Final answer
    x = 3,723,035.79

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.