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Finding the Third Proportional to 479,971.50 and 1,031,172

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Solution

The third proportional to 479,971.50 and 1,031,172 is: 2,215,372.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,971.50 : 1,031,172 = 1,031,172 : x
  2. Step 2: Convert to fraction form
    479,971.50/1,031,172 = 1,031,172/x
  3. Step 3: Cross multiply
    479,971.50x = 1,031,172 × 1,031,172
  4. Step 4: Simplify right side
    479,971.50x = 1,063,315,693,584
  5. Step 5: Solve for x
    x = 1,063,315,693,584/479,971.50
  6. Step 6: Final answer
    x = 2,215,372.57

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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.