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Finding the Third Proportional to 451,200.38 and 1,003,262.63

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Solution

The third proportional to 451,200.38 and 1,003,262.63 is: 2,230,795.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,200.38 : 1,003,262.63 = 1,003,262.63 : x
  2. Step 2: Convert to fraction form
    451,200.38/1,003,262.63 = 1,003,262.63/x
  3. Step 3: Cross multiply
    451,200.38x = 1,003,262.63 × 1,003,262.63
  4. Step 4: Simplify right side
    451,200.38x = 1,006,535,894,721.89
  5. Step 5: Solve for x
    x = 1,006,535,894,721.89/451,200.38
  6. Step 6: Final answer
    x = 2,230,795.78

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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.