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Finding the Third Proportional to 809,831 and 1,874,808.25

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Solution

The third proportional to 809,831 and 1,874,808.25 is: 4,340,295.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,831 : 1,874,808.25 = 1,874,808.25 : x
  2. Step 2: Convert to fraction form
    809,831/1,874,808.25 = 1,874,808.25/x
  3. Step 3: Cross multiply
    809,831x = 1,874,808.25 × 1,874,808.25
  4. Step 4: Simplify right side
    809,831x = 3,514,905,974,268.06
  5. Step 5: Solve for x
    x = 3,514,905,974,268.06/809,831
  6. Step 6: Final answer
    x = 4,340,295.66

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.