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Finding the Third Proportional to 1,004,024.81 and 1,529,568.56

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Solution

The third proportional to 1,004,024.81 and 1,529,568.56 is: 2,330,201.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004,024.81 : 1,529,568.56 = 1,529,568.56 : x
  2. Step 2: Convert to fraction form
    1,004,024.81/1,529,568.56 = 1,529,568.56/x
  3. Step 3: Cross multiply
    1,004,024.81x = 1,529,568.56 × 1,529,568.56
  4. Step 4: Simplify right side
    1,004,024.81x = 2,339,579,987,388.32
  5. Step 5: Solve for x
    x = 2,339,579,987,388.32/1,004,024.81
  6. Step 6: Final answer
    x = 2,330,201.36

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Why These Related Problems?

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