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Finding the Third Proportional to 3,212,954 and 4,283,462

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Solution

The third proportional to 3,212,954 and 4,283,462 is: 5,710,647.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212,954 : 4,283,462 = 4,283,462 : x
  2. Step 2: Convert to fraction form
    3,212,954/4,283,462 = 4,283,462/x
  3. Step 3: Cross multiply
    3,212,954x = 4,283,462 × 4,283,462
  4. Step 4: Simplify right side
    3,212,954x = 18,348,046,705,444
  5. Step 5: Solve for x
    x = 18,348,046,705,444/3,212,954
  6. Step 6: Final answer
    x = 5,710,647.18

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.