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Finding the Third Proportional to 512,591.63 and 1,121,684.63

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Solution

The third proportional to 512,591.63 and 1,121,684.63 is: 2,454,539.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,591.63 : 1,121,684.63 = 1,121,684.63 : x
  2. Step 2: Convert to fraction form
    512,591.63/1,121,684.63 = 1,121,684.63/x
  3. Step 3: Cross multiply
    512,591.63x = 1,121,684.63 × 1,121,684.63
  4. Step 4: Simplify right side
    512,591.63x = 1,258,176,397,961.39
  5. Step 5: Solve for x
    x = 1,258,176,397,961.39/512,591.63
  6. Step 6: Final answer
    x = 2,454,539.51

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.