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Finding the Third Proportional to 1,188,211 and 2,565,816

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Solution

The third proportional to 1,188,211 and 2,565,816 is: 5,540,608.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188,211 : 2,565,816 = 2,565,816 : x
  2. Step 2: Convert to fraction form
    1,188,211/2,565,816 = 2,565,816/x
  3. Step 3: Cross multiply
    1,188,211x = 2,565,816 × 2,565,816
  4. Step 4: Simplify right side
    1,188,211x = 6,583,411,745,856
  5. Step 5: Solve for x
    x = 6,583,411,745,856/1,188,211
  6. Step 6: Final answer
    x = 5,540,608.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.