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Finding the Third Proportional to 543,294 and 1,194,156

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Solution

The third proportional to 543,294 and 1,194,156 is: 2,624,745.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,294 : 1,194,156 = 1,194,156 : x
  2. Step 2: Convert to fraction form
    543,294/1,194,156 = 1,194,156/x
  3. Step 3: Cross multiply
    543,294x = 1,194,156 × 1,194,156
  4. Step 4: Simplify right side
    543,294x = 1,426,008,552,336
  5. Step 5: Solve for x
    x = 1,426,008,552,336/543,294
  6. Step 6: Final answer
    x = 2,624,745.63

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.