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Finding the Third Proportional to 724,560 and 1,589,088

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Solution

The third proportional to 724,560 and 1,589,088 is: 3,485,150.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,560 : 1,589,088 = 1,589,088 : x
  2. Step 2: Convert to fraction form
    724,560/1,589,088 = 1,589,088/x
  3. Step 3: Cross multiply
    724,560x = 1,589,088 × 1,589,088
  4. Step 4: Simplify right side
    724,560x = 2,525,200,671,744
  5. Step 5: Solve for x
    x = 2,525,200,671,744/724,560
  6. Step 6: Final answer
    x = 3,485,150.54

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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.