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Finding the Third Proportional to 2,899,341 and 6,171,930

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Solution

The third proportional to 2,899,341 and 6,171,930 is: 13,138,406.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,899,341 : 6,171,930 = 6,171,930 : x
  2. Step 2: Convert to fraction form
    2,899,341/6,171,930 = 6,171,930/x
  3. Step 3: Cross multiply
    2,899,341x = 6,171,930 × 6,171,930
  4. Step 4: Simplify right side
    2,899,341x = 38,092,719,924,900
  5. Step 5: Solve for x
    x = 38,092,719,924,900/2,899,341
  6. Step 6: Final answer
    x = 13,138,406.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.