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Finding the Third Proportional to 545,576 and 1,178,268

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Solution

The third proportional to 545,576 and 1,178,268 is: 2,544,678.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,576 : 1,178,268 = 1,178,268 : x
  2. Step 2: Convert to fraction form
    545,576/1,178,268 = 1,178,268/x
  3. Step 3: Cross multiply
    545,576x = 1,178,268 × 1,178,268
  4. Step 4: Simplify right side
    545,576x = 1,388,315,479,824
  5. Step 5: Solve for x
    x = 1,388,315,479,824/545,576
  6. Step 6: Final answer
    x = 2,544,678.43

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Why These Related Problems?

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