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Finding the Third Proportional to 543,834 and 1,175,148

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Solution

The third proportional to 543,834 and 1,175,148 is: 2,539,327.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,834 : 1,175,148 = 1,175,148 : x
  2. Step 2: Convert to fraction form
    543,834/1,175,148 = 1,175,148/x
  3. Step 3: Cross multiply
    543,834x = 1,175,148 × 1,175,148
  4. Step 4: Simplify right side
    543,834x = 1,380,972,821,904
  5. Step 5: Solve for x
    x = 1,380,972,821,904/543,834
  6. Step 6: Final answer
    x = 2,539,327.85

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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.