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Finding the Third Proportional to 513,813 and 1,104,172

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Solution

The third proportional to 513,813 and 1,104,172 is: 2,372,839.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,813 : 1,104,172 = 1,104,172 : x
  2. Step 2: Convert to fraction form
    513,813/1,104,172 = 1,104,172/x
  3. Step 3: Cross multiply
    513,813x = 1,104,172 × 1,104,172
  4. Step 4: Simplify right side
    513,813x = 1,219,195,805,584
  5. Step 5: Solve for x
    x = 1,219,195,805,584/513,813
  6. Step 6: Final answer
    x = 2,372,839.55

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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.