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Finding the Third Proportional to 831,400.50 and 1,787,115.75

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Solution

The third proportional to 831,400.50 and 1,787,115.75 is: 3,841,449.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,400.50 : 1,787,115.75 = 1,787,115.75 : x
  2. Step 2: Convert to fraction form
    831,400.50/1,787,115.75 = 1,787,115.75/x
  3. Step 3: Cross multiply
    831,400.50x = 1,787,115.75 × 1,787,115.75
  4. Step 4: Simplify right side
    831,400.50x = 3,193,782,703,898.06
  5. Step 5: Solve for x
    x = 3,193,782,703,898.06/831,400.50
  6. Step 6: Final answer
    x = 3,841,449.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.