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Finding the Third Proportional to 1,511,082 and 2,281,176

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Solution

The third proportional to 1,511,082 and 2,281,176 is: 3,443,733.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511,082 : 2,281,176 = 2,281,176 : x
  2. Step 2: Convert to fraction form
    1,511,082/2,281,176 = 2,281,176/x
  3. Step 3: Cross multiply
    1,511,082x = 2,281,176 × 2,281,176
  4. Step 4: Simplify right side
    1,511,082x = 5,203,763,942,976
  5. Step 5: Solve for x
    x = 5,203,763,942,976/1,511,082
  6. Step 6: Final answer
    x = 3,443,733.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.