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Finding the Third Proportional to 405,999 and 874,206

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Solution

The third proportional to 405,999 and 874,206 is: 1,882,359.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,999 : 874,206 = 874,206 : x
  2. Step 2: Convert to fraction form
    405,999/874,206 = 874,206/x
  3. Step 3: Cross multiply
    405,999x = 874,206 × 874,206
  4. Step 4: Simplify right side
    405,999x = 764,236,130,436
  5. Step 5: Solve for x
    x = 764,236,130,436/405,999
  6. Step 6: Final answer
    x = 1,882,359.64

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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.