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Finding the Third Proportional to 451,985.50 and 1,003,097

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Solution

The third proportional to 451,985.50 and 1,003,097 is: 2,226,185.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,985.50 : 1,003,097 = 1,003,097 : x
  2. Step 2: Convert to fraction form
    451,985.50/1,003,097 = 1,003,097/x
  3. Step 3: Cross multiply
    451,985.50x = 1,003,097 × 1,003,097
  4. Step 4: Simplify right side
    451,985.50x = 1,006,203,591,409
  5. Step 5: Solve for x
    x = 1,006,203,591,409/451,985.50
  6. Step 6: Final answer
    x = 2,226,185.56

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.