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Finding the Third Proportional to 724,518 and 1,589,004

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Solution

The third proportional to 724,518 and 1,589,004 is: 3,484,984.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,518 : 1,589,004 = 1,589,004 : x
  2. Step 2: Convert to fraction form
    724,518/1,589,004 = 1,589,004/x
  3. Step 3: Cross multiply
    724,518x = 1,589,004 × 1,589,004
  4. Step 4: Simplify right side
    724,518x = 2,524,933,712,016
  5. Step 5: Solve for x
    x = 2,524,933,712,016/724,518
  6. Step 6: Final answer
    x = 3,484,984.10

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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.