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Finding the Third Proportional to 880,134 and 1,322,145

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Solution

The third proportional to 880,134 and 1,322,145 is: 1,986,137.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    880,134 : 1,322,145 = 1,322,145 : x
  2. Step 2: Convert to fraction form
    880,134/1,322,145 = 1,322,145/x
  3. Step 3: Cross multiply
    880,134x = 1,322,145 × 1,322,145
  4. Step 4: Simplify right side
    880,134x = 1,748,067,401,025
  5. Step 5: Solve for x
    x = 1,748,067,401,025/880,134
  6. Step 6: Final answer
    x = 1,986,137.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.