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Finding the Third Proportional to 2,035,275 and 3,164,949

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Solution

The third proportional to 2,035,275 and 3,164,949 is: 4,921,645.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035,275 : 3,164,949 = 3,164,949 : x
  2. Step 2: Convert to fraction form
    2,035,275/3,164,949 = 3,164,949/x
  3. Step 3: Cross multiply
    2,035,275x = 3,164,949 × 3,164,949
  4. Step 4: Simplify right side
    2,035,275x = 10,016,902,172,601
  5. Step 5: Solve for x
    x = 10,016,902,172,601/2,035,275
  6. Step 6: Final answer
    x = 4,921,645.56

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.