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Finding the Third Proportional to 1,965,240 and 4,166,673

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Solution

The third proportional to 1,965,240 and 4,166,673 is: 8,834,118.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965,240 : 4,166,673 = 4,166,673 : x
  2. Step 2: Convert to fraction form
    1,965,240/4,166,673 = 4,166,673/x
  3. Step 3: Cross multiply
    1,965,240x = 4,166,673 × 4,166,673
  4. Step 4: Simplify right side
    1,965,240x = 17,361,163,888,929
  5. Step 5: Solve for x
    x = 17,361,163,888,929/1,965,240
  6. Step 6: Final answer
    x = 8,834,118.93

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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.