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Finding the Third Proportional to 3,171,962 and 4,521,747

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Solution

The third proportional to 3,171,962 and 4,521,747 is: 6,445,914.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171,962 : 4,521,747 = 4,521,747 : x
  2. Step 2: Convert to fraction form
    3,171,962/4,521,747 = 4,521,747/x
  3. Step 3: Cross multiply
    3,171,962x = 4,521,747 × 4,521,747
  4. Step 4: Simplify right side
    3,171,962x = 20,446,195,932,009
  5. Step 5: Solve for x
    x = 20,446,195,932,009/3,171,962
  6. Step 6: Final answer
    x = 6,445,914.53

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.