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Finding the Third Proportional to 3,421,683 and 5,296,311

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Solution

The third proportional to 3,421,683 and 5,296,311 is: 8,197,986.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421,683 : 5,296,311 = 5,296,311 : x
  2. Step 2: Convert to fraction form
    3,421,683/5,296,311 = 5,296,311/x
  3. Step 3: Cross multiply
    3,421,683x = 5,296,311 × 5,296,311
  4. Step 4: Simplify right side
    3,421,683x = 28,050,910,208,721
  5. Step 5: Solve for x
    x = 28,050,910,208,721/3,421,683
  6. Step 6: Final answer
    x = 8,197,986.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.