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Finding the Third Proportional to 541,578 and 1,175,010

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Solution

The third proportional to 541,578 and 1,175,010 is: 2,549,306.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,578 : 1,175,010 = 1,175,010 : x
  2. Step 2: Convert to fraction form
    541,578/1,175,010 = 1,175,010/x
  3. Step 3: Cross multiply
    541,578x = 1,175,010 × 1,175,010
  4. Step 4: Simplify right side
    541,578x = 1,380,648,500,100
  5. Step 5: Solve for x
    x = 1,380,648,500,100/541,578
  6. Step 6: Final answer
    x = 2,549,306.84

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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.