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Finding the Third Proportional to 1,004,024 and 1,529,567

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Solution

The third proportional to 1,004,024 and 1,529,567 is: 2,330,198.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004,024 : 1,529,567 = 1,529,567 : x
  2. Step 2: Convert to fraction form
    1,004,024/1,529,567 = 1,529,567/x
  3. Step 3: Cross multiply
    1,004,024x = 1,529,567 × 1,529,567
  4. Step 4: Simplify right side
    1,004,024x = 2,339,575,207,489
  5. Step 5: Solve for x
    x = 2,339,575,207,489/1,004,024
  6. Step 6: Final answer
    x = 2,330,198.49

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.