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Finding the Third Proportional to 823,840.88 and 1,197,959.63

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Solution

The third proportional to 823,840.88 and 1,197,959.63 is: 1,741,971.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,840.88 : 1,197,959.63 = 1,197,959.63 : x
  2. Step 2: Convert to fraction form
    823,840.88/1,197,959.63 = 1,197,959.63/x
  3. Step 3: Cross multiply
    823,840.88x = 1,197,959.63 × 1,197,959.63
  4. Step 4: Simplify right side
    823,840.88x = 1,435,107,263,130.14
  5. Step 5: Solve for x
    x = 1,435,107,263,130.14/823,840.88
  6. Step 6: Final answer
    x = 1,741,971.43

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.