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Finding the Third Proportional to 3,212,943.50 and 4,283,447

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Solution

The third proportional to 3,212,943.50 and 4,283,447 is: 5,710,625.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212,943.50 : 4,283,447 = 4,283,447 : x
  2. Step 2: Convert to fraction form
    3,212,943.50/4,283,447 = 4,283,447/x
  3. Step 3: Cross multiply
    3,212,943.50x = 4,283,447 × 4,283,447
  4. Step 4: Simplify right side
    3,212,943.50x = 18,347,918,201,809
  5. Step 5: Solve for x
    x = 18,347,918,201,809/3,212,943.50
  6. Step 6: Final answer
    x = 5,710,625.85

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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.