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Finding the Third Proportional to 481,534.88 and 1,138,785.33

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Solution

The third proportional to 481,534.88 and 1,138,785.33 is: 2,693,121.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,534.88 : 1,138,785.33 = 1,138,785.33 : x
  2. Step 2: Convert to fraction form
    481,534.88/1,138,785.33 = 1,138,785.33/x
  3. Step 3: Cross multiply
    481,534.88x = 1,138,785.33 × 1,138,785.33
  4. Step 4: Simplify right side
    481,534.88x = 1,296,832,023,552.76
  5. Step 5: Solve for x
    x = 1,296,832,023,552.76/481,534.88
  6. Step 6: Final answer
    x = 2,693,121.70

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.