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Finding the Third Proportional to 727,673 and 1,530,744

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Solution

The third proportional to 727,673 and 1,530,744 is: 3,220,096.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,673 : 1,530,744 = 1,530,744 : x
  2. Step 2: Convert to fraction form
    727,673/1,530,744 = 1,530,744/x
  3. Step 3: Cross multiply
    727,673x = 1,530,744 × 1,530,744
  4. Step 4: Simplify right side
    727,673x = 2,343,177,193,536
  5. Step 5: Solve for x
    x = 2,343,177,193,536/727,673
  6. Step 6: Final answer
    x = 3,220,096.38

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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.