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Finding the Third Proportional to 947,630 and 1,933,312

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Solution

The third proportional to 947,630 and 1,933,312 is: 3,944,255.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,630 : 1,933,312 = 1,933,312 : x
  2. Step 2: Convert to fraction form
    947,630/1,933,312 = 1,933,312/x
  3. Step 3: Cross multiply
    947,630x = 1,933,312 × 1,933,312
  4. Step 4: Simplify right side
    947,630x = 3,737,695,289,344
  5. Step 5: Solve for x
    x = 3,737,695,289,344/947,630
  6. Step 6: Final answer
    x = 3,944,255.97

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.