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Finding the Third Proportional to 862,323.75 and 1,813,950

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Solution

The third proportional to 862,323.75 and 1,813,950 is: 3,815,753.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,323.75 : 1,813,950 = 1,813,950 : x
  2. Step 2: Convert to fraction form
    862,323.75/1,813,950 = 1,813,950/x
  3. Step 3: Cross multiply
    862,323.75x = 1,813,950 × 1,813,950
  4. Step 4: Simplify right side
    862,323.75x = 3,290,414,602,500
  5. Step 5: Solve for x
    x = 3,290,414,602,500/862,323.75
  6. Step 6: Final answer
    x = 3,815,753.19

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Why These Related Problems?

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