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Finding the Third Proportional to 1,780,617 and 3,831,231

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Solution

The third proportional to 1,780,617 and 3,831,231 is: 8,243,395.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780,617 : 3,831,231 = 3,831,231 : x
  2. Step 2: Convert to fraction form
    1,780,617/3,831,231 = 3,831,231/x
  3. Step 3: Cross multiply
    1,780,617x = 3,831,231 × 3,831,231
  4. Step 4: Simplify right side
    1,780,617x = 14,678,330,975,361
  5. Step 5: Solve for x
    x = 14,678,330,975,361/1,780,617
  6. Step 6: Final answer
    x = 8,243,395.96

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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.