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Finding the Third Proportional to 642,343.50 and 1,383,345

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Solution

The third proportional to 642,343.50 and 1,383,345 is: 2,979,158.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,343.50 : 1,383,345 = 1,383,345 : x
  2. Step 2: Convert to fraction form
    642,343.50/1,383,345 = 1,383,345/x
  3. Step 3: Cross multiply
    642,343.50x = 1,383,345 × 1,383,345
  4. Step 4: Simplify right side
    642,343.50x = 1,913,643,389,025
  5. Step 5: Solve for x
    x = 1,913,643,389,025/642,343.50
  6. Step 6: Final answer
    x = 2,979,158.95

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.