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Finding the Third Proportional to 825,645 and 1,707,927.75

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Solution

The third proportional to 825,645 and 1,707,927.75 is: 3,533,016.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,645 : 1,707,927.75 = 1,707,927.75 : x
  2. Step 2: Convert to fraction form
    825,645/1,707,927.75 = 1,707,927.75/x
  3. Step 3: Cross multiply
    825,645x = 1,707,927.75 × 1,707,927.75
  4. Step 4: Simplify right side
    825,645x = 2,917,017,199,220.06
  5. Step 5: Solve for x
    x = 2,917,017,199,220.06/825,645
  6. Step 6: Final answer
    x = 3,533,016.25

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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.