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Finding the Third Proportional to 509,412 and 1,093,988

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Solution

The third proportional to 509,412 and 1,093,988 is: 2,349,394.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,412 : 1,093,988 = 1,093,988 : x
  2. Step 2: Convert to fraction form
    509,412/1,093,988 = 1,093,988/x
  3. Step 3: Cross multiply
    509,412x = 1,093,988 × 1,093,988
  4. Step 4: Simplify right side
    509,412x = 1,196,809,744,144
  5. Step 5: Solve for x
    x = 1,196,809,744,144/509,412
  6. Step 6: Final answer
    x = 2,349,394.49

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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.