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Finding the Third Proportional to 509,394 and 1,093,956

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Solution

The third proportional to 509,394 and 1,093,956 is: 2,349,340.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,394 : 1,093,956 = 1,093,956 : x
  2. Step 2: Convert to fraction form
    509,394/1,093,956 = 1,093,956/x
  3. Step 3: Cross multiply
    509,394x = 1,093,956 × 1,093,956
  4. Step 4: Simplify right side
    509,394x = 1,196,739,729,936
  5. Step 5: Solve for x
    x = 1,196,739,729,936/509,394
  6. Step 6: Final answer
    x = 2,349,340.06

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.