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Finding the Third Proportional to 501,852 and 1,082,508

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Solution

The third proportional to 501,852 and 1,082,508 is: 2,334,998.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,852 : 1,082,508 = 1,082,508 : x
  2. Step 2: Convert to fraction form
    501,852/1,082,508 = 1,082,508/x
  3. Step 3: Cross multiply
    501,852x = 1,082,508 × 1,082,508
  4. Step 4: Simplify right side
    501,852x = 1,171,823,570,064
  5. Step 5: Solve for x
    x = 1,171,823,570,064/501,852
  6. Step 6: Final answer
    x = 2,334,998.31

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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.