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Finding the Third Proportional to 1,781,296 and 3,882,288

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Solution

The third proportional to 1,781,296 and 3,882,288 is: 8,461,345.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781,296 : 3,882,288 = 3,882,288 : x
  2. Step 2: Convert to fraction form
    1,781,296/3,882,288 = 3,882,288/x
  3. Step 3: Cross multiply
    1,781,296x = 3,882,288 × 3,882,288
  4. Step 4: Simplify right side
    1,781,296x = 15,072,160,114,944
  5. Step 5: Solve for x
    x = 15,072,160,114,944/1,781,296
  6. Step 6: Final answer
    x = 8,461,345.06

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.