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Finding the Third Proportional to 2,824,677 and 3,626,811

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Solution

The third proportional to 2,824,677 and 3,626,811 is: 4,656,729.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824,677 : 3,626,811 = 3,626,811 : x
  2. Step 2: Convert to fraction form
    2,824,677/3,626,811 = 3,626,811/x
  3. Step 3: Cross multiply
    2,824,677x = 3,626,811 × 3,626,811
  4. Step 4: Simplify right side
    2,824,677x = 13,153,758,029,721
  5. Step 5: Solve for x
    x = 13,153,758,029,721/2,824,677
  6. Step 6: Final answer
    x = 4,656,729.97

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.