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Finding the Third Proportional to 543,838 and 1,175,156

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Solution

The third proportional to 543,838 and 1,175,156 is: 2,539,343.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,838 : 1,175,156 = 1,175,156 : x
  2. Step 2: Convert to fraction form
    543,838/1,175,156 = 1,175,156/x
  3. Step 3: Cross multiply
    543,838x = 1,175,156 × 1,175,156
  4. Step 4: Simplify right side
    543,838x = 1,380,991,624,336
  5. Step 5: Solve for x
    x = 1,380,991,624,336/543,838
  6. Step 6: Final answer
    x = 2,539,343.75

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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.