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Finding the Third Proportional to 729,604 and 1,096,741

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Solution

The third proportional to 729,604 and 1,096,741 is: 1,648,621.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,604 : 1,096,741 = 1,096,741 : x
  2. Step 2: Convert to fraction form
    729,604/1,096,741 = 1,096,741/x
  3. Step 3: Cross multiply
    729,604x = 1,096,741 × 1,096,741
  4. Step 4: Simplify right side
    729,604x = 1,202,840,821,081
  5. Step 5: Solve for x
    x = 1,202,840,821,081/729,604
  6. Step 6: Final answer
    x = 1,648,621.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.