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Finding the Third Proportional to 1,746,816 and 3,801,177

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Solution

The third proportional to 1,746,816 and 3,801,177 is: 8,271,590.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746,816 : 3,801,177 = 3,801,177 : x
  2. Step 2: Convert to fraction form
    1,746,816/3,801,177 = 3,801,177/x
  3. Step 3: Cross multiply
    1,746,816x = 3,801,177 × 3,801,177
  4. Step 4: Simplify right side
    1,746,816x = 14,448,946,585,329
  5. Step 5: Solve for x
    x = 14,448,946,585,329/1,746,816
  6. Step 6: Final answer
    x = 8,271,590.47

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.