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Finding the Third Proportional to 1,125,846 and 2,297,538

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Solution

The third proportional to 1,125,846 and 2,297,538 is: 4,688,634.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125,846 : 2,297,538 = 2,297,538 : x
  2. Step 2: Convert to fraction form
    1,125,846/2,297,538 = 2,297,538/x
  3. Step 3: Cross multiply
    1,125,846x = 2,297,538 × 2,297,538
  4. Step 4: Simplify right side
    1,125,846x = 5,278,680,861,444
  5. Step 5: Solve for x
    x = 5,278,680,861,444/1,125,846
  6. Step 6: Final answer
    x = 4,688,634.91

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.