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Finding the Third Proportional to 3,858,138 and 5,642,346

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Solution

The third proportional to 3,858,138 and 5,642,346 is: 8,251,666.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858,138 : 5,642,346 = 5,642,346 : x
  2. Step 2: Convert to fraction form
    3,858,138/5,642,346 = 5,642,346/x
  3. Step 3: Cross multiply
    3,858,138x = 5,642,346 × 5,642,346
  4. Step 4: Simplify right side
    3,858,138x = 31,836,068,383,716
  5. Step 5: Solve for x
    x = 31,836,068,383,716/3,858,138
  6. Step 6: Final answer
    x = 8,251,666.58

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.