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Finding the Third Proportional to 539,784 and 1,162,605.38

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Solution

The third proportional to 539,784 and 1,162,605.38 is: 2,504,059.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,784 : 1,162,605.38 = 1,162,605.38 : x
  2. Step 2: Convert to fraction form
    539,784/1,162,605.38 = 1,162,605.38/x
  3. Step 3: Cross multiply
    539,784x = 1,162,605.38 × 1,162,605.38
  4. Step 4: Simplify right side
    539,784x = 1,351,651,257,978.89
  5. Step 5: Solve for x
    x = 1,351,651,257,978.89/539,784
  6. Step 6: Final answer
    x = 2,504,059.51

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Why These Related Problems?

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