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Finding the Third Proportional to 443,107.13 and 902,453.06

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Solution

The third proportional to 443,107.13 and 902,453.06 is: 1,837,978.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,107.13 : 902,453.06 = 902,453.06 : x
  2. Step 2: Convert to fraction form
    443,107.13/902,453.06 = 902,453.06/x
  3. Step 3: Cross multiply
    443,107.13x = 902,453.06 × 902,453.06
  4. Step 4: Simplify right side
    443,107.13x = 814,421,530,015.63
  5. Step 5: Solve for x
    x = 814,421,530,015.63/443,107.13
  6. Step 6: Final answer
    x = 1,837,978.86

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.