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Finding the Third Proportional to 851,874.75 and 1,821,942

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Solution

The third proportional to 851,874.75 and 1,821,942 is: 3,896,667.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,874.75 : 1,821,942 = 1,821,942 : x
  2. Step 2: Convert to fraction form
    851,874.75/1,821,942 = 1,821,942/x
  3. Step 3: Cross multiply
    851,874.75x = 1,821,942 × 1,821,942
  4. Step 4: Simplify right side
    851,874.75x = 3,319,472,651,364
  5. Step 5: Solve for x
    x = 3,319,472,651,364/851,874.75
  6. Step 6: Final answer
    x = 3,896,667.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.