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Finding the Third Proportional to 3,884,193 and 5,880,262.50

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Solution

The third proportional to 3,884,193 and 5,880,262.50 is: 8,902,103.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884,193 : 5,880,262.50 = 5,880,262.50 : x
  2. Step 2: Convert to fraction form
    3,884,193/5,880,262.50 = 5,880,262.50/x
  3. Step 3: Cross multiply
    3,884,193x = 5,880,262.50 × 5,880,262.50
  4. Step 4: Simplify right side
    3,884,193x = 34,577,487,068,906.25
  5. Step 5: Solve for x
    x = 34,577,487,068,906.25/3,884,193
  6. Step 6: Final answer
    x = 8,902,103.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.