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Finding the Third Proportional to 727,668 and 1,530,733.50

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Solution

The third proportional to 727,668 and 1,530,733.50 is: 3,220,074.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,668 : 1,530,733.50 = 1,530,733.50 : x
  2. Step 2: Convert to fraction form
    727,668/1,530,733.50 = 1,530,733.50/x
  3. Step 3: Cross multiply
    727,668x = 1,530,733.50 × 1,530,733.50
  4. Step 4: Simplify right side
    727,668x = 2,343,145,048,022.25
  5. Step 5: Solve for x
    x = 2,343,145,048,022.25/727,668
  6. Step 6: Final answer
    x = 3,220,074.33

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.