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Finding the Third Proportional to 780,463.50 and 1,582,458

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Solution

The third proportional to 780,463.50 and 1,582,458 is: 3,208,571.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,463.50 : 1,582,458 = 1,582,458 : x
  2. Step 2: Convert to fraction form
    780,463.50/1,582,458 = 1,582,458/x
  3. Step 3: Cross multiply
    780,463.50x = 1,582,458 × 1,582,458
  4. Step 4: Simplify right side
    780,463.50x = 2,504,173,321,764
  5. Step 5: Solve for x
    x = 2,504,173,321,764/780,463.50
  6. Step 6: Final answer
    x = 3,208,571.99

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.