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Finding the Third Proportional to 724,556 and 1,589,080

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Solution

The third proportional to 724,556 and 1,589,080 is: 3,485,134.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,556 : 1,589,080 = 1,589,080 : x
  2. Step 2: Convert to fraction form
    724,556/1,589,080 = 1,589,080/x
  3. Step 3: Cross multiply
    724,556x = 1,589,080 × 1,589,080
  4. Step 4: Simplify right side
    724,556x = 2,525,175,246,400
  5. Step 5: Solve for x
    x = 2,525,175,246,400/724,556
  6. Step 6: Final answer
    x = 3,485,134.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.