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Finding the Third Proportional to 1,238,714 and 1,835,042

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Solution

The third proportional to 1,238,714 and 1,835,042 is: 2,718,447.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238,714 : 1,835,042 = 1,835,042 : x
  2. Step 2: Convert to fraction form
    1,238,714/1,835,042 = 1,835,042/x
  3. Step 3: Cross multiply
    1,238,714x = 1,835,042 × 1,835,042
  4. Step 4: Simplify right side
    1,238,714x = 3,367,379,141,764
  5. Step 5: Solve for x
    x = 3,367,379,141,764/1,238,714
  6. Step 6: Final answer
    x = 2,718,447.63

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.