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Finding the Third Proportional to 825,645.75 and 1,707,928.88

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Solution

The third proportional to 825,645.75 and 1,707,928.88 is: 3,533,017.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,645.75 : 1,707,928.88 = 1,707,928.88 : x
  2. Step 2: Convert to fraction form
    825,645.75/1,707,928.88 = 1,707,928.88/x
  3. Step 3: Cross multiply
    825,645.75x = 1,707,928.88 × 1,707,928.88
  4. Step 4: Simplify right side
    825,645.75x = 2,917,021,042,058.77
  5. Step 5: Solve for x
    x = 2,917,021,042,058.77/825,645.75
  6. Step 6: Final answer
    x = 3,533,017.69

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.