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Finding the Third Proportional to 483,441.75 and 1,052,902.13

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Solution

The third proportional to 483,441.75 and 1,052,902.13 is: 2,293,146.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,441.75 : 1,052,902.13 = 1,052,902.13 : x
  2. Step 2: Convert to fraction form
    483,441.75/1,052,902.13 = 1,052,902.13/x
  3. Step 3: Cross multiply
    483,441.75x = 1,052,902.13 × 1,052,902.13
  4. Step 4: Simplify right side
    483,441.75x = 1,108,602,884,829.52
  5. Step 5: Solve for x
    x = 1,108,602,884,829.52/483,441.75
  6. Step 6: Final answer
    x = 2,293,146.76

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.