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Finding the Third Proportional to 546,545,149 and 1,180,178,578

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Solution

The third proportional to 546,545,149 and 1,180,178,578 is: 2,548,410,645.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,545,149 : 1,180,178,578 = 1,180,178,578 : x
  2. Step 2: Convert to fraction form
    546,545,149/1,180,178,578 = 1,180,178,578/x
  3. Step 3: Cross multiply
    546,545,149x = 1,180,178,578 × 1,180,178,578
  4. Step 4: Simplify right side
    546,545,149x = 1,392,821,475,970,102,016
  5. Step 5: Solve for x
    x = 1,392,821,475,970,102,016/546,545,149
  6. Step 6: Final answer
    x = 2,548,410,645.52

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.