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Finding the Third Proportional to 724,288 and 1,559,024

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Solution

The third proportional to 724,288 and 1,559,024 is: 3,355,786.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,288 : 1,559,024 = 1,559,024 : x
  2. Step 2: Convert to fraction form
    724,288/1,559,024 = 1,559,024/x
  3. Step 3: Cross multiply
    724,288x = 1,559,024 × 1,559,024
  4. Step 4: Simplify right side
    724,288x = 2,430,555,832,576
  5. Step 5: Solve for x
    x = 2,430,555,832,576/724,288
  6. Step 6: Final answer
    x = 3,355,786.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.