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Finding the Third Proportional to 831,072 and 1,807,872

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Solution

The third proportional to 831,072 and 1,807,872 is: 3,932,753.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,072 : 1,807,872 = 1,807,872 : x
  2. Step 2: Convert to fraction form
    831,072/1,807,872 = 1,807,872/x
  3. Step 3: Cross multiply
    831,072x = 1,807,872 × 1,807,872
  4. Step 4: Simplify right side
    831,072x = 3,268,401,168,384
  5. Step 5: Solve for x
    x = 3,268,401,168,384/831,072
  6. Step 6: Final answer
    x = 3,932,753.32

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.