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Finding the Third Proportional to 1,147,823 and 2,505,467

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Solution

The third proportional to 1,147,823 and 2,505,467 is: 5,468,931.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147,823 : 2,505,467 = 2,505,467 : x
  2. Step 2: Convert to fraction form
    1,147,823/2,505,467 = 2,505,467/x
  3. Step 3: Cross multiply
    1,147,823x = 2,505,467 × 2,505,467
  4. Step 4: Simplify right side
    1,147,823x = 6,277,364,888,089
  5. Step 5: Solve for x
    x = 6,277,364,888,089/1,147,823
  6. Step 6: Final answer
    x = 5,468,931.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.