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Finding the Third Proportional to 541,576 and 1,175,004

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Solution

The third proportional to 541,576 and 1,175,004 is: 2,549,290.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,576 : 1,175,004 = 1,175,004 : x
  2. Step 2: Convert to fraction form
    541,576/1,175,004 = 1,175,004/x
  3. Step 3: Cross multiply
    541,576x = 1,175,004 × 1,175,004
  4. Step 4: Simplify right side
    541,576x = 1,380,634,400,016
  5. Step 5: Solve for x
    x = 1,380,634,400,016/541,576
  6. Step 6: Final answer
    x = 2,549,290.22

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.