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Finding the Third Proportional to 524,448 and 1,149,984

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Solution

The third proportional to 524,448 and 1,149,984 is: 2,521,628.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,448 : 1,149,984 = 1,149,984 : x
  2. Step 2: Convert to fraction form
    524,448/1,149,984 = 1,149,984/x
  3. Step 3: Cross multiply
    524,448x = 1,149,984 × 1,149,984
  4. Step 4: Simplify right side
    524,448x = 1,322,463,200,256
  5. Step 5: Solve for x
    x = 1,322,463,200,256/524,448
  6. Step 6: Final answer
    x = 2,521,628.84

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.