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Finding the Third Proportional to 838,096 and 1,808,992

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Solution

The third proportional to 838,096 and 1,808,992 is: 3,904,626.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,096 : 1,808,992 = 1,808,992 : x
  2. Step 2: Convert to fraction form
    838,096/1,808,992 = 1,808,992/x
  3. Step 3: Cross multiply
    838,096x = 1,808,992 × 1,808,992
  4. Step 4: Simplify right side
    838,096x = 3,272,452,056,064
  5. Step 5: Solve for x
    x = 3,272,452,056,064/838,096
  6. Step 6: Final answer
    x = 3,904,626.74

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.