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Finding the Third Proportional to 1,285,791 and 1,751,307

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Solution

The third proportional to 1,285,791 and 1,751,307 is: 2,385,361.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285,791 : 1,751,307 = 1,751,307 : x
  2. Step 2: Convert to fraction form
    1,285,791/1,751,307 = 1,751,307/x
  3. Step 3: Cross multiply
    1,285,791x = 1,751,307 × 1,751,307
  4. Step 4: Simplify right side
    1,285,791x = 3,067,076,208,249
  5. Step 5: Solve for x
    x = 3,067,076,208,249/1,285,791
  6. Step 6: Final answer
    x = 2,385,361.39

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.