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Finding the Third Proportional to 800,760 and 1,759,020

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Solution

The third proportional to 800,760 and 1,759,020 is: 3,864,018.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,760 : 1,759,020 = 1,759,020 : x
  2. Step 2: Convert to fraction form
    800,760/1,759,020 = 1,759,020/x
  3. Step 3: Cross multiply
    800,760x = 1,759,020 × 1,759,020
  4. Step 4: Simplify right side
    800,760x = 3,094,151,360,400
  5. Step 5: Solve for x
    x = 3,094,151,360,400/800,760
  6. Step 6: Final answer
    x = 3,864,018.38

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.