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Finding the Third Proportional to 749,296 and 1,148,976

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Solution

The third proportional to 749,296 and 1,148,976 is: 1,761,848.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,296 : 1,148,976 = 1,148,976 : x
  2. Step 2: Convert to fraction form
    749,296/1,148,976 = 1,148,976/x
  3. Step 3: Cross multiply
    749,296x = 1,148,976 × 1,148,976
  4. Step 4: Simplify right side
    749,296x = 1,320,145,848,576
  5. Step 5: Solve for x
    x = 1,320,145,848,576/749,296
  6. Step 6: Final answer
    x = 1,761,848.25

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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.