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Finding the Third Proportional to 401,083 and 871,326

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Solution

The third proportional to 401,083 and 871,326 is: 1,892,897.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,083 : 871,326 = 871,326 : x
  2. Step 2: Convert to fraction form
    401,083/871,326 = 871,326/x
  3. Step 3: Cross multiply
    401,083x = 871,326 × 871,326
  4. Step 4: Simplify right side
    401,083x = 759,208,998,276
  5. Step 5: Solve for x
    x = 759,208,998,276/401,083
  6. Step 6: Final answer
    x = 1,892,897.48

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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.