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Finding the Third Proportional to 840,579.75 and 1,824,043.50

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Solution

The third proportional to 840,579.75 and 1,824,043.50 is: 3,958,142.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,579.75 : 1,824,043.50 = 1,824,043.50 : x
  2. Step 2: Convert to fraction form
    840,579.75/1,824,043.50 = 1,824,043.50/x
  3. Step 3: Cross multiply
    840,579.75x = 1,824,043.50 × 1,824,043.50
  4. Step 4: Simplify right side
    840,579.75x = 3,327,134,689,892.25
  5. Step 5: Solve for x
    x = 3,327,134,689,892.25/840,579.75
  6. Step 6: Final answer
    x = 3,958,142.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.