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Finding the Third Proportional to 1,390,910.06 and 2,965,539.09

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Solution

The third proportional to 1,390,910.06 and 2,965,539.09 is: 6,322,782.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390,910.06 : 2,965,539.09 = 2,965,539.09 : x
  2. Step 2: Convert to fraction form
    1,390,910.06/2,965,539.09 = 2,965,539.09/x
  3. Step 3: Cross multiply
    1,390,910.06x = 2,965,539.09 × 2,965,539.09
  4. Step 4: Simplify right side
    1,390,910.06x = 8,794,422,116,559.57
  5. Step 5: Solve for x
    x = 8,794,422,116,559.57/1,390,910.06
  6. Step 6: Final answer
    x = 6,322,782.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.