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Finding the Third Proportional to 2,894,760 and 6,187,896

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Solution

The third proportional to 2,894,760 and 6,187,896 is: 13,227,368.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894,760 : 6,187,896 = 6,187,896 : x
  2. Step 2: Convert to fraction form
    2,894,760/6,187,896 = 6,187,896/x
  3. Step 3: Cross multiply
    2,894,760x = 6,187,896 × 6,187,896
  4. Step 4: Simplify right side
    2,894,760x = 38,290,056,906,816
  5. Step 5: Solve for x
    x = 38,290,056,906,816/2,894,760
  6. Step 6: Final answer
    x = 13,227,368.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.