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Finding the Third Proportional to 876,450 and 1,252,467

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Solution

The third proportional to 876,450 and 1,252,467 is: 1,789,803.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,450 : 1,252,467 = 1,252,467 : x
  2. Step 2: Convert to fraction form
    876,450/1,252,467 = 1,252,467/x
  3. Step 3: Cross multiply
    876,450x = 1,252,467 × 1,252,467
  4. Step 4: Simplify right side
    876,450x = 1,568,673,586,089
  5. Step 5: Solve for x
    x = 1,568,673,586,089/876,450
  6. Step 6: Final answer
    x = 1,789,803.85

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.