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Finding the Third Proportional to 401,838 and 884,028

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Solution

The third proportional to 401,838 and 884,028 is: 1,944,827.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,838 : 884,028 = 884,028 : x
  2. Step 2: Convert to fraction form
    401,838/884,028 = 884,028/x
  3. Step 3: Cross multiply
    401,838x = 884,028 × 884,028
  4. Step 4: Simplify right side
    401,838x = 781,505,504,784
  5. Step 5: Solve for x
    x = 781,505,504,784/401,838
  6. Step 6: Final answer
    x = 1,944,827.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.