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Finding the Third Proportional to 401,066 and 874,120

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Solution

The third proportional to 401,066 and 874,120 is: 1,905,137.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,066 : 874,120 = 874,120 : x
  2. Step 2: Convert to fraction form
    401,066/874,120 = 874,120/x
  3. Step 3: Cross multiply
    401,066x = 874,120 × 874,120
  4. Step 4: Simplify right side
    401,066x = 764,085,774,400
  5. Step 5: Solve for x
    x = 764,085,774,400/401,066
  6. Step 6: Final answer
    x = 1,905,137.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.