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Finding the Third Proportional to 1,965,239.50 and 4,166,672

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Solution

The third proportional to 1,965,239.50 and 4,166,672 is: 8,834,116.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965,239.50 : 4,166,672 = 4,166,672 : x
  2. Step 2: Convert to fraction form
    1,965,239.50/4,166,672 = 4,166,672/x
  3. Step 3: Cross multiply
    1,965,239.50x = 4,166,672 × 4,166,672
  4. Step 4: Simplify right side
    1,965,239.50x = 17,361,155,555,584
  5. Step 5: Solve for x
    x = 17,361,155,555,584/1,965,239.50
  6. Step 6: Final answer
    x = 8,834,116.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.