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Finding the Third Proportional to 404,595 and 874,800

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Solution

The third proportional to 404,595 and 874,800 is: 1,891,459.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,595 : 874,800 = 874,800 : x
  2. Step 2: Convert to fraction form
    404,595/874,800 = 874,800/x
  3. Step 3: Cross multiply
    404,595x = 874,800 × 874,800
  4. Step 4: Simplify right side
    404,595x = 765,275,040,000
  5. Step 5: Solve for x
    x = 765,275,040,000/404,595
  6. Step 6: Final answer
    x = 1,891,459.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.