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Finding the Third Proportional to 419,851.69 and 899,602.03

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Solution

The third proportional to 419,851.69 and 899,602.03 is: 1,927,546.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,851.69 : 899,602.03 = 899,602.03 : x
  2. Step 2: Convert to fraction form
    419,851.69/899,602.03 = 899,602.03/x
  3. Step 3: Cross multiply
    419,851.69x = 899,602.03 × 899,602.03
  4. Step 4: Simplify right side
    419,851.69x = 809,283,814,629.13
  5. Step 5: Solve for x
    x = 809,283,814,629.13/419,851.69
  6. Step 6: Final answer
    x = 1,927,546.89

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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.