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Finding the Third Proportional to 675,705 and 1,469,020

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Solution

The third proportional to 675,705 and 1,469,020 is: 3,193,730.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,705 : 1,469,020 = 1,469,020 : x
  2. Step 2: Convert to fraction form
    675,705/1,469,020 = 1,469,020/x
  3. Step 3: Cross multiply
    675,705x = 1,469,020 × 1,469,020
  4. Step 4: Simplify right side
    675,705x = 2,158,019,760,400
  5. Step 5: Solve for x
    x = 2,158,019,760,400/675,705
  6. Step 6: Final answer
    x = 3,193,730.64

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.