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Finding the Third Proportional to 3,171,894 and 4,743,984

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Solution

The third proportional to 3,171,894 and 4,743,984 is: 7,095,251.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171,894 : 4,743,984 = 4,743,984 : x
  2. Step 2: Convert to fraction form
    3,171,894/4,743,984 = 4,743,984/x
  3. Step 3: Cross multiply
    3,171,894x = 4,743,984 × 4,743,984
  4. Step 4: Simplify right side
    3,171,894x = 22,505,384,192,256
  5. Step 5: Solve for x
    x = 22,505,384,192,256/3,171,894
  6. Step 6: Final answer
    x = 7,095,251.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.