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Finding the Third Proportional to 829,894.50 and 1,820,493

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Solution

The third proportional to 829,894.50 and 1,820,493 is: 3,993,513.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,894.50 : 1,820,493 = 1,820,493 : x
  2. Step 2: Convert to fraction form
    829,894.50/1,820,493 = 1,820,493/x
  3. Step 3: Cross multiply
    829,894.50x = 1,820,493 × 1,820,493
  4. Step 4: Simplify right side
    829,894.50x = 3,314,194,763,049
  5. Step 5: Solve for x
    x = 3,314,194,763,049/829,894.50
  6. Step 6: Final answer
    x = 3,993,513.35

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.