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Finding the Third Proportional to 831,096 and 1,793,408

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Solution

The third proportional to 831,096 and 1,793,408 is: 3,869,964.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,096 : 1,793,408 = 1,793,408 : x
  2. Step 2: Convert to fraction form
    831,096/1,793,408 = 1,793,408/x
  3. Step 3: Cross multiply
    831,096x = 1,793,408 × 1,793,408
  4. Step 4: Simplify right side
    831,096x = 3,216,312,254,464
  5. Step 5: Solve for x
    x = 3,216,312,254,464/831,096
  6. Step 6: Final answer
    x = 3,869,964.79

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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.