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Finding the Third Proportional to 3,071,286 and 4,528,197

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Solution

The third proportional to 3,071,286 and 4,528,197 is: 6,676,215.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071,286 : 4,528,197 = 4,528,197 : x
  2. Step 2: Convert to fraction form
    3,071,286/4,528,197 = 4,528,197/x
  3. Step 3: Cross multiply
    3,071,286x = 4,528,197 × 4,528,197
  4. Step 4: Simplify right side
    3,071,286x = 20,504,568,070,809
  5. Step 5: Solve for x
    x = 20,504,568,070,809/3,071,286
  6. Step 6: Final answer
    x = 6,676,215.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.