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Finding the Third Proportional to 862,736.25 and 1,814,689.50

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Solution

The third proportional to 862,736.25 and 1,814,689.50 is: 3,817,039.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,736.25 : 1,814,689.50 = 1,814,689.50 : x
  2. Step 2: Convert to fraction form
    862,736.25/1,814,689.50 = 1,814,689.50/x
  3. Step 3: Cross multiply
    862,736.25x = 1,814,689.50 × 1,814,689.50
  4. Step 4: Simplify right side
    862,736.25x = 3,293,097,981,410.25
  5. Step 5: Solve for x
    x = 3,293,097,981,410.25/862,736.25
  6. Step 6: Final answer
    x = 3,817,039.08

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.