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Finding the Third Proportional to 876,096 and 1,280,883

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Solution

The third proportional to 876,096 and 1,280,883 is: 1,872,695.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,096 : 1,280,883 = 1,280,883 : x
  2. Step 2: Convert to fraction form
    876,096/1,280,883 = 1,280,883/x
  3. Step 3: Cross multiply
    876,096x = 1,280,883 × 1,280,883
  4. Step 4: Simplify right side
    876,096x = 1,640,661,259,689
  5. Step 5: Solve for x
    x = 1,640,661,259,689/876,096
  6. Step 6: Final answer
    x = 1,872,695.75

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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.