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Finding the Third Proportional to 3,211,689 and 4,728,816

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Solution

The third proportional to 3,211,689 and 4,728,816 is: 6,962,598.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211,689 : 4,728,816 = 4,728,816 : x
  2. Step 2: Convert to fraction form
    3,211,689/4,728,816 = 4,728,816/x
  3. Step 3: Cross multiply
    3,211,689x = 4,728,816 × 4,728,816
  4. Step 4: Simplify right side
    3,211,689x = 22,361,700,761,856
  5. Step 5: Solve for x
    x = 22,361,700,761,856/3,211,689
  6. Step 6: Final answer
    x = 6,962,598.42

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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.