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Finding the Third Proportional to 401,380 and 871,856

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Solution

The third proportional to 401,380 and 871,856 is: 1,893,798.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,380 : 871,856 = 871,856 : x
  2. Step 2: Convert to fraction form
    401,380/871,856 = 871,856/x
  3. Step 3: Cross multiply
    401,380x = 871,856 × 871,856
  4. Step 4: Simplify right side
    401,380x = 760,132,884,736
  5. Step 5: Solve for x
    x = 760,132,884,736/401,380
  6. Step 6: Final answer
    x = 1,893,798.61

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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.