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Finding the Third Proportional to 863,758.69 and 1,354,861.69

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Solution

The third proportional to 863,758.69 and 1,354,861.69 is: 2,125,188.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,758.69 : 1,354,861.69 = 1,354,861.69 : x
  2. Step 2: Convert to fraction form
    863,758.69/1,354,861.69 = 1,354,861.69/x
  3. Step 3: Cross multiply
    863,758.69x = 1,354,861.69 × 1,354,861.69
  4. Step 4: Simplify right side
    863,758.69x = 1,835,650,192,255.35
  5. Step 5: Solve for x
    x = 1,835,650,192,255.35/863,758.69
  6. Step 6: Final answer
    x = 2,125,188.69

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.