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Finding the Third Proportional to 483,022 and 1,049,082

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Solution

The third proportional to 483,022 and 1,049,082 is: 2,278,515.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,022 : 1,049,082 = 1,049,082 : x
  2. Step 2: Convert to fraction form
    483,022/1,049,082 = 1,049,082/x
  3. Step 3: Cross multiply
    483,022x = 1,049,082 × 1,049,082
  4. Step 4: Simplify right side
    483,022x = 1,100,573,042,724
  5. Step 5: Solve for x
    x = 1,100,573,042,724/483,022
  6. Step 6: Final answer
    x = 2,278,515.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.