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Finding the Third Proportional to 541,504 and 1,248,032

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Solution

The third proportional to 541,504 and 1,248,032 is: 2,876,403.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,504 : 1,248,032 = 1,248,032 : x
  2. Step 2: Convert to fraction form
    541,504/1,248,032 = 1,248,032/x
  3. Step 3: Cross multiply
    541,504x = 1,248,032 × 1,248,032
  4. Step 4: Simplify right side
    541,504x = 1,557,583,873,024
  5. Step 5: Solve for x
    x = 1,557,583,873,024/541,504
  6. Step 6: Final answer
    x = 2,876,403.26

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.