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Finding the Third Proportional to 1,740,569 and 2,660,893

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Solution

The third proportional to 1,740,569 and 2,660,893 is: 4,067,837.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740,569 : 2,660,893 = 2,660,893 : x
  2. Step 2: Convert to fraction form
    1,740,569/2,660,893 = 2,660,893/x
  3. Step 3: Cross multiply
    1,740,569x = 2,660,893 × 2,660,893
  4. Step 4: Simplify right side
    1,740,569x = 7,080,351,557,449
  5. Step 5: Solve for x
    x = 7,080,351,557,449/1,740,569
  6. Step 6: Final answer
    x = 4,067,837.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.