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Finding the Third Proportional to 876,848 and 1,188,256

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Solution

The third proportional to 876,848 and 1,188,256 is: 1,610,258.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,848 : 1,188,256 = 1,188,256 : x
  2. Step 2: Convert to fraction form
    876,848/1,188,256 = 1,188,256/x
  3. Step 3: Cross multiply
    876,848x = 1,188,256 × 1,188,256
  4. Step 4: Simplify right side
    876,848x = 1,411,952,321,536
  5. Step 5: Solve for x
    x = 1,411,952,321,536/876,848
  6. Step 6: Final answer
    x = 1,610,258.93

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