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Finding the Third Proportional to 451,504.13 and 966,061.69

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Solution

The third proportional to 451,504.13 and 966,061.69 is: 2,067,035.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,504.13 : 966,061.69 = 966,061.69 : x
  2. Step 2: Convert to fraction form
    451,504.13/966,061.69 = 966,061.69/x
  3. Step 3: Cross multiply
    451,504.13x = 966,061.69 × 966,061.69
  4. Step 4: Simplify right side
    451,504.13x = 933,275,184,055.35
  5. Step 5: Solve for x
    x = 933,275,184,055.35/451,504.13
  6. Step 6: Final answer
    x = 2,067,035.79

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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.