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Finding the Third Proportional to 683,832 and 1,582,947.50

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Solution

The third proportional to 683,832 and 1,582,947.50 is: 3,664,237.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,832 : 1,582,947.50 = 1,582,947.50 : x
  2. Step 2: Convert to fraction form
    683,832/1,582,947.50 = 1,582,947.50/x
  3. Step 3: Cross multiply
    683,832x = 1,582,947.50 × 1,582,947.50
  4. Step 4: Simplify right side
    683,832x = 2,505,722,787,756.25
  5. Step 5: Solve for x
    x = 2,505,722,787,756.25/683,832
  6. Step 6: Final answer
    x = 3,664,237.40

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.