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Finding the Third Proportional to 1,387,840.50 and 3,212,651

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Solution

The third proportional to 1,387,840.50 and 3,212,651 is: 7,436,824.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387,840.50 : 3,212,651 = 3,212,651 : x
  2. Step 2: Convert to fraction form
    1,387,840.50/3,212,651 = 3,212,651/x
  3. Step 3: Cross multiply
    1,387,840.50x = 3,212,651 × 3,212,651
  4. Step 4: Simplify right side
    1,387,840.50x = 10,321,126,447,801
  5. Step 5: Solve for x
    x = 10,321,126,447,801/1,387,840.50
  6. Step 6: Final answer
    x = 7,436,824.66

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.