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Finding the Third Proportional to 576,608 and 1,238,467

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Solution

The third proportional to 576,608 and 1,238,467 is: 2,660,040.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,608 : 1,238,467 = 1,238,467 : x
  2. Step 2: Convert to fraction form
    576,608/1,238,467 = 1,238,467/x
  3. Step 3: Cross multiply
    576,608x = 1,238,467 × 1,238,467
  4. Step 4: Simplify right side
    576,608x = 1,533,800,510,089
  5. Step 5: Solve for x
    x = 1,533,800,510,089/576,608
  6. Step 6: Final answer
    x = 2,660,040.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.