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Finding the Third Proportional to 999,843.75 and 2,151,420.75

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Solution

The third proportional to 999,843.75 and 2,151,420.75 is: 4,629,334.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    999,843.75 : 2,151,420.75 = 2,151,420.75 : x
  2. Step 2: Convert to fraction form
    999,843.75/2,151,420.75 = 2,151,420.75/x
  3. Step 3: Cross multiply
    999,843.75x = 2,151,420.75 × 2,151,420.75
  4. Step 4: Simplify right side
    999,843.75x = 4,628,611,243,530.56
  5. Step 5: Solve for x
    x = 4,628,611,243,530.56/999,843.75
  6. Step 6: Final answer
    x = 4,629,334.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.