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Finding the Third Proportional to 814,367.25 and 1,268,088.75

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Solution

The third proportional to 814,367.25 and 1,268,088.75 is: 1,974,599.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,367.25 : 1,268,088.75 = 1,268,088.75 : x
  2. Step 2: Convert to fraction form
    814,367.25/1,268,088.75 = 1,268,088.75/x
  3. Step 3: Cross multiply
    814,367.25x = 1,268,088.75 × 1,268,088.75
  4. Step 4: Simplify right side
    814,367.25x = 1,608,049,077,876.56
  5. Step 5: Solve for x
    x = 1,608,049,077,876.56/814,367.25
  6. Step 6: Final answer
    x = 1,974,599.39

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.