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Finding the Third Proportional to 739,424 and 1,190,456

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Solution

The third proportional to 739,424 and 1,190,456 is: 1,916,607.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,424 : 1,190,456 = 1,190,456 : x
  2. Step 2: Convert to fraction form
    739,424/1,190,456 = 1,190,456/x
  3. Step 3: Cross multiply
    739,424x = 1,190,456 × 1,190,456
  4. Step 4: Simplify right side
    739,424x = 1,417,185,487,936
  5. Step 5: Solve for x
    x = 1,417,185,487,936/739,424
  6. Step 6: Final answer
    x = 1,916,607.37

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.