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Finding the Third Proportional to 2,902,934 and 6,151,954

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Solution

The third proportional to 2,902,934 and 6,151,954 is: 13,037,340.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902,934 : 6,151,954 = 6,151,954 : x
  2. Step 2: Convert to fraction form
    2,902,934/6,151,954 = 6,151,954/x
  3. Step 3: Cross multiply
    2,902,934x = 6,151,954 × 6,151,954
  4. Step 4: Simplify right side
    2,902,934x = 37,846,538,018,116
  5. Step 5: Solve for x
    x = 37,846,538,018,116/2,902,934
  6. Step 6: Final answer
    x = 13,037,340.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.