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Finding the Third Proportional to 603,186.75 and 1,299,047.63

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Solution

The third proportional to 603,186.75 and 1,299,047.63 is: 2,797,682.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,186.75 : 1,299,047.63 = 1,299,047.63 : x
  2. Step 2: Convert to fraction form
    603,186.75/1,299,047.63 = 1,299,047.63/x
  3. Step 3: Cross multiply
    603,186.75x = 1,299,047.63 × 1,299,047.63
  4. Step 4: Simplify right side
    603,186.75x = 1,687,524,732,018.14
  5. Step 5: Solve for x
    x = 1,687,524,732,018.14/603,186.75
  6. Step 6: Final answer
    x = 2,797,682.03

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.