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Finding the Third Proportional to 501,319 and 1,082,551

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Solution

The third proportional to 501,319 and 1,082,551 is: 2,337,666.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,319 : 1,082,551 = 1,082,551 : x
  2. Step 2: Convert to fraction form
    501,319/1,082,551 = 1,082,551/x
  3. Step 3: Cross multiply
    501,319x = 1,082,551 × 1,082,551
  4. Step 4: Simplify right side
    501,319x = 1,171,916,667,601
  5. Step 5: Solve for x
    x = 1,171,916,667,601/501,319
  6. Step 6: Final answer
    x = 2,337,666.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.