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Finding the Third Proportional to 544,326 and 1,153,542

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Solution

The third proportional to 544,326 and 1,153,542 is: 2,444,599.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,326 : 1,153,542 = 1,153,542 : x
  2. Step 2: Convert to fraction form
    544,326/1,153,542 = 1,153,542/x
  3. Step 3: Cross multiply
    544,326x = 1,153,542 × 1,153,542
  4. Step 4: Simplify right side
    544,326x = 1,330,659,145,764
  5. Step 5: Solve for x
    x = 1,330,659,145,764/544,326
  6. Step 6: Final answer
    x = 2,444,599.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.