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Finding the Third Proportional to 402,048 and 874,080

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Solution

The third proportional to 402,048 and 874,080 is: 1,900,310.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,048 : 874,080 = 874,080 : x
  2. Step 2: Convert to fraction form
    402,048/874,080 = 874,080/x
  3. Step 3: Cross multiply
    402,048x = 874,080 × 874,080
  4. Step 4: Simplify right side
    402,048x = 764,015,846,400
  5. Step 5: Solve for x
    x = 764,015,846,400/402,048
  6. Step 6: Final answer
    x = 1,900,310.03

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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.