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Finding the Third Proportional to 2,095,400 and 3,103,816

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Solution

The third proportional to 2,095,400 and 3,103,816 is: 4,597,534.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095,400 : 3,103,816 = 3,103,816 : x
  2. Step 2: Convert to fraction form
    2,095,400/3,103,816 = 3,103,816/x
  3. Step 3: Cross multiply
    2,095,400x = 3,103,816 × 3,103,816
  4. Step 4: Simplify right side
    2,095,400x = 9,633,673,761,856
  5. Step 5: Solve for x
    x = 9,633,673,761,856/2,095,400
  6. Step 6: Final answer
    x = 4,597,534.49

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.