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Finding the Third Proportional to 404,782 and 871,858

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Solution

The third proportional to 404,782 and 871,858 is: 1,877,890.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,782 : 871,858 = 871,858 : x
  2. Step 2: Convert to fraction form
    404,782/871,858 = 871,858/x
  3. Step 3: Cross multiply
    404,782x = 871,858 × 871,858
  4. Step 4: Simplify right side
    404,782x = 760,136,372,164
  5. Step 5: Solve for x
    x = 760,136,372,164/404,782
  6. Step 6: Final answer
    x = 1,877,890.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.