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Finding the Third Proportional to 501,369 and 1,082,629

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Solution

The third proportional to 501,369 and 1,082,629 is: 2,337,770.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,369 : 1,082,629 = 1,082,629 : x
  2. Step 2: Convert to fraction form
    501,369/1,082,629 = 1,082,629/x
  3. Step 3: Cross multiply
    501,369x = 1,082,629 × 1,082,629
  4. Step 4: Simplify right side
    501,369x = 1,172,085,551,641
  5. Step 5: Solve for x
    x = 1,172,085,551,641/501,369
  6. Step 6: Final answer
    x = 2,337,770.29

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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.