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Finding the Third Proportional to 1,322,736.75 and 1,862,713.63

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Solution

The third proportional to 1,322,736.75 and 1,862,713.63 is: 2,623,123.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322,736.75 : 1,862,713.63 = 1,862,713.63 : x
  2. Step 2: Convert to fraction form
    1,322,736.75/1,862,713.63 = 1,862,713.63/x
  3. Step 3: Cross multiply
    1,322,736.75x = 1,862,713.63 × 1,862,713.63
  4. Step 4: Simplify right side
    1,322,736.75x = 3,469,702,048,760.64
  5. Step 5: Solve for x
    x = 3,469,702,048,760.64/1,322,736.75
  6. Step 6: Final answer
    x = 2,623,123.65

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.