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Finding the Third Proportional to 401,119 and 871,357

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Solution

The third proportional to 401,119 and 871,357 is: 1,892,862.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,119 : 871,357 = 871,357 : x
  2. Step 2: Convert to fraction form
    401,119/871,357 = 871,357/x
  3. Step 3: Cross multiply
    401,119x = 871,357 × 871,357
  4. Step 4: Simplify right side
    401,119x = 759,263,021,449
  5. Step 5: Solve for x
    x = 759,263,021,449/401,119
  6. Step 6: Final answer
    x = 1,892,862.27

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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.