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Finding the Third Proportional to 638,760 and 1,002,024

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Solution

The third proportional to 638,760 and 1,002,024 is: 1,571,876.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,760 : 1,002,024 = 1,002,024 : x
  2. Step 2: Convert to fraction form
    638,760/1,002,024 = 1,002,024/x
  3. Step 3: Cross multiply
    638,760x = 1,002,024 × 1,002,024
  4. Step 4: Simplify right side
    638,760x = 1,004,052,096,576
  5. Step 5: Solve for x
    x = 1,004,052,096,576/638,760
  6. Step 6: Final answer
    x = 1,571,876.91

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.