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Finding the Third Proportional to 1,616,185 and 2,410,263

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Solution

The third proportional to 1,616,185 and 2,410,263 is: 3,594,494.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616,185 : 2,410,263 = 2,410,263 : x
  2. Step 2: Convert to fraction form
    1,616,185/2,410,263 = 2,410,263/x
  3. Step 3: Cross multiply
    1,616,185x = 2,410,263 × 2,410,263
  4. Step 4: Simplify right side
    1,616,185x = 5,809,367,729,169
  5. Step 5: Solve for x
    x = 5,809,367,729,169/1,616,185
  6. Step 6: Final answer
    x = 3,594,494.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.