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Finding the Third Proportional to 451,274.63 and 983,512.13

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Solution

The third proportional to 451,274.63 and 983,512.13 is: 2,143,475.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,274.63 : 983,512.13 = 983,512.13 : x
  2. Step 2: Convert to fraction form
    451,274.63/983,512.13 = 983,512.13/x
  3. Step 3: Cross multiply
    451,274.63x = 983,512.13 × 983,512.13
  4. Step 4: Simplify right side
    451,274.63x = 967,296,100,022.02
  5. Step 5: Solve for x
    x = 967,296,100,022.02/451,274.63
  6. Step 6: Final answer
    x = 2,143,475.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.