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Finding the Third Proportional to 825,643.13 and 1,707,923.25

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Solution

The third proportional to 825,643.13 and 1,707,923.25 is: 3,533,005.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,643.13 : 1,707,923.25 = 1,707,923.25 : x
  2. Step 2: Convert to fraction form
    825,643.13/1,707,923.25 = 1,707,923.25/x
  3. Step 3: Cross multiply
    825,643.13x = 1,707,923.25 × 1,707,923.25
  4. Step 4: Simplify right side
    825,643.13x = 2,917,001,827,890.56
  5. Step 5: Solve for x
    x = 2,917,001,827,890.56/825,643.13
  6. Step 6: Final answer
    x = 3,533,005.65

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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.