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Finding the Third Proportional to 724,528 and 1,589,024

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Solution

The third proportional to 724,528 and 1,589,024 is: 3,485,023.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,528 : 1,589,024 = 1,589,024 : x
  2. Step 2: Convert to fraction form
    724,528/1,589,024 = 1,589,024/x
  3. Step 3: Cross multiply
    724,528x = 1,589,024 × 1,589,024
  4. Step 4: Simplify right side
    724,528x = 2,524,997,272,576
  5. Step 5: Solve for x
    x = 2,524,997,272,576/724,528
  6. Step 6: Final answer
    x = 3,485,023.73

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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.