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Finding the Third Proportional to 683,833.50 and 1,582,952.06

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Solution

The third proportional to 683,833.50 and 1,582,952.06 is: 3,664,250.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,833.50 : 1,582,952.06 = 1,582,952.06 : x
  2. Step 2: Convert to fraction form
    683,833.50/1,582,952.06 = 1,582,952.06/x
  3. Step 3: Cross multiply
    683,833.50x = 1,582,952.06 × 1,582,952.06
  4. Step 4: Simplify right side
    683,833.50x = 2,505,737,232,173.00
  5. Step 5: Solve for x
    x = 2,505,737,232,173.00/683,833.50
  6. Step 6: Final answer
    x = 3,664,250.48

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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.