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Finding the Third Proportional to 1,322,311.50 and 1,964,027.25

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Solution

The third proportional to 1,322,311.50 and 1,964,027.25 is: 2,917,166.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322,311.50 : 1,964,027.25 = 1,964,027.25 : x
  2. Step 2: Convert to fraction form
    1,322,311.50/1,964,027.25 = 1,964,027.25/x
  3. Step 3: Cross multiply
    1,322,311.50x = 1,964,027.25 × 1,964,027.25
  4. Step 4: Simplify right side
    1,322,311.50x = 3,857,403,038,742.56
  5. Step 5: Solve for x
    x = 3,857,403,038,742.56/1,322,311.50
  6. Step 6: Final answer
    x = 2,917,166.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.