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Finding the Third Proportional to 809,520 and 1,741,500

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Solution

The third proportional to 809,520 and 1,741,500 is: 3,746,445.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,520 : 1,741,500 = 1,741,500 : x
  2. Step 2: Convert to fraction form
    809,520/1,741,500 = 1,741,500/x
  3. Step 3: Cross multiply
    809,520x = 1,741,500 × 1,741,500
  4. Step 4: Simplify right side
    809,520x = 3,032,822,250,000
  5. Step 5: Solve for x
    x = 3,032,822,250,000/809,520
  6. Step 6: Final answer
    x = 3,746,445.12

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.