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Finding the Third Proportional to 403,855 and 874,571

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Solution

The third proportional to 403,855 and 874,571 is: 1,893,933.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,855 : 874,571 = 874,571 : x
  2. Step 2: Convert to fraction form
    403,855/874,571 = 874,571/x
  3. Step 3: Cross multiply
    403,855x = 874,571 × 874,571
  4. Step 4: Simplify right side
    403,855x = 764,874,434,041
  5. Step 5: Solve for x
    x = 764,874,434,041/403,855
  6. Step 6: Final answer
    x = 1,893,933.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.