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Finding the Third Proportional to 509,170 and 1,119,996

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Solution

The third proportional to 509,170 and 1,119,996 is: 2,463,599.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,170 : 1,119,996 = 1,119,996 : x
  2. Step 2: Convert to fraction form
    509,170/1,119,996 = 1,119,996/x
  3. Step 3: Cross multiply
    509,170x = 1,119,996 × 1,119,996
  4. Step 4: Simplify right side
    509,170x = 1,254,391,040,016
  5. Step 5: Solve for x
    x = 1,254,391,040,016/509,170
  6. Step 6: Final answer
    x = 2,463,599.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.