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Finding the Third Proportional to 1,780,613 and 3,831,223

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Solution

The third proportional to 1,780,613 and 3,831,223 is: 8,243,380.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780,613 : 3,831,223 = 3,831,223 : x
  2. Step 2: Convert to fraction form
    1,780,613/3,831,223 = 3,831,223/x
  3. Step 3: Cross multiply
    1,780,613x = 3,831,223 × 3,831,223
  4. Step 4: Simplify right side
    1,780,613x = 14,678,269,675,729
  5. Step 5: Solve for x
    x = 14,678,269,675,729/1,780,613
  6. Step 6: Final answer
    x = 8,243,380.05

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.