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Finding the Third Proportional to 420,760.88 and 901,801.13

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Solution

The third proportional to 420,760.88 and 901,801.13 is: 1,932,796.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,760.88 : 901,801.13 = 901,801.13 : x
  2. Step 2: Convert to fraction form
    420,760.88/901,801.13 = 901,801.13/x
  3. Step 3: Cross multiply
    420,760.88x = 901,801.13 × 901,801.13
  4. Step 4: Simplify right side
    420,760.88x = 813,245,269,051.27
  5. Step 5: Solve for x
    x = 813,245,269,051.27/420,760.88
  6. Step 6: Final answer
    x = 1,932,796.79

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.