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Finding the Third Proportional to 543,034.13 and 1,192,395.94

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Solution

The third proportional to 543,034.13 and 1,192,395.94 is: 2,618,266.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,034.13 : 1,192,395.94 = 1,192,395.94 : x
  2. Step 2: Convert to fraction form
    543,034.13/1,192,395.94 = 1,192,395.94/x
  3. Step 3: Cross multiply
    543,034.13x = 1,192,395.94 × 1,192,395.94
  4. Step 4: Simplify right side
    543,034.13x = 1,421,808,071,766.50
  5. Step 5: Solve for x
    x = 1,421,808,071,766.50/543,034.13
  6. Step 6: Final answer
    x = 2,618,266.53

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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.