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Finding the Third Proportional to 540,505 and 1,147,680

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Solution

The third proportional to 540,505 and 1,147,680 is: 2,436,923.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,505 : 1,147,680 = 1,147,680 : x
  2. Step 2: Convert to fraction form
    540,505/1,147,680 = 1,147,680/x
  3. Step 3: Cross multiply
    540,505x = 1,147,680 × 1,147,680
  4. Step 4: Simplify right side
    540,505x = 1,317,169,382,400
  5. Step 5: Solve for x
    x = 1,317,169,382,400/540,505
  6. Step 6: Final answer
    x = 2,436,923.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.