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Finding the Third Proportional to 864,630 and 1,381,266

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Solution

The third proportional to 864,630 and 1,381,266 is: 2,206,603.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,630 : 1,381,266 = 1,381,266 : x
  2. Step 2: Convert to fraction form
    864,630/1,381,266 = 1,381,266/x
  3. Step 3: Cross multiply
    864,630x = 1,381,266 × 1,381,266
  4. Step 4: Simplify right side
    864,630x = 1,907,895,762,756
  5. Step 5: Solve for x
    x = 1,907,895,762,756/864,630
  6. Step 6: Final answer
    x = 2,206,603.71

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.