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Finding the Third Proportional to 854,296 and 1,237,377

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Solution

The third proportional to 854,296 and 1,237,377 is: 1,792,238.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,296 : 1,237,377 = 1,237,377 : x
  2. Step 2: Convert to fraction form
    854,296/1,237,377 = 1,237,377/x
  3. Step 3: Cross multiply
    854,296x = 1,237,377 × 1,237,377
  4. Step 4: Simplify right side
    854,296x = 1,531,101,840,129
  5. Step 5: Solve for x
    x = 1,531,101,840,129/854,296
  6. Step 6: Final answer
    x = 1,792,238.10

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.