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Finding the Third Proportional to 810,465.75 and 1,876,081.50

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Solution

The third proportional to 810,465.75 and 1,876,081.50 is: 4,342,789.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,465.75 : 1,876,081.50 = 1,876,081.50 : x
  2. Step 2: Convert to fraction form
    810,465.75/1,876,081.50 = 1,876,081.50/x
  3. Step 3: Cross multiply
    810,465.75x = 1,876,081.50 × 1,876,081.50
  4. Step 4: Simplify right side
    810,465.75x = 3,519,681,794,642.25
  5. Step 5: Solve for x
    x = 3,519,681,794,642.25/810,465.75
  6. Step 6: Final answer
    x = 4,342,789.06

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.