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Finding the Third Proportional to 544,032 and 1,175,652

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Solution

The third proportional to 544,032 and 1,175,652 is: 2,540,581.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,032 : 1,175,652 = 1,175,652 : x
  2. Step 2: Convert to fraction form
    544,032/1,175,652 = 1,175,652/x
  3. Step 3: Cross multiply
    544,032x = 1,175,652 × 1,175,652
  4. Step 4: Simplify right side
    544,032x = 1,382,157,625,104
  5. Step 5: Solve for x
    x = 1,382,157,625,104/544,032
  6. Step 6: Final answer
    x = 2,540,581.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.