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Finding the Third Proportional to 865,848 and 1,265,256

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Solution

The third proportional to 865,848 and 1,265,256 is: 1,848,907.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,848 : 1,265,256 = 1,265,256 : x
  2. Step 2: Convert to fraction form
    865,848/1,265,256 = 1,265,256/x
  3. Step 3: Cross multiply
    865,848x = 1,265,256 × 1,265,256
  4. Step 4: Simplify right side
    865,848x = 1,600,872,745,536
  5. Step 5: Solve for x
    x = 1,600,872,745,536/865,848
  6. Step 6: Final answer
    x = 1,848,907.37

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.