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Finding the Third Proportional to 3,282,257 and 5,273,707

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Solution

The third proportional to 3,282,257 and 5,273,707 is: 8,473,433.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282,257 : 5,273,707 = 5,273,707 : x
  2. Step 2: Convert to fraction form
    3,282,257/5,273,707 = 5,273,707/x
  3. Step 3: Cross multiply
    3,282,257x = 5,273,707 × 5,273,707
  4. Step 4: Simplify right side
    3,282,257x = 27,811,985,521,849
  5. Step 5: Solve for x
    x = 27,811,985,521,849/3,282,257
  6. Step 6: Final answer
    x = 8,473,433.23

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.