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Finding the Third Proportional to 1,224,560 and 2,594,800

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Solution

The third proportional to 1,224,560 and 2,594,800 is: 5,498,290.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224,560 : 2,594,800 = 2,594,800 : x
  2. Step 2: Convert to fraction form
    1,224,560/2,594,800 = 2,594,800/x
  3. Step 3: Cross multiply
    1,224,560x = 2,594,800 × 2,594,800
  4. Step 4: Simplify right side
    1,224,560x = 6,732,987,040,000
  5. Step 5: Solve for x
    x = 6,732,987,040,000/1,224,560
  6. Step 6: Final answer
    x = 5,498,290.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.