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Finding the Third Proportional to 729,003 and 1,590,660

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Solution

The third proportional to 729,003 and 1,590,660 is: 3,470,766.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,003 : 1,590,660 = 1,590,660 : x
  2. Step 2: Convert to fraction form
    729,003/1,590,660 = 1,590,660/x
  3. Step 3: Cross multiply
    729,003x = 1,590,660 × 1,590,660
  4. Step 4: Simplify right side
    729,003x = 2,530,199,235,600
  5. Step 5: Solve for x
    x = 2,530,199,235,600/729,003
  6. Step 6: Final answer
    x = 3,470,766.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.