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Finding the Third Proportional to 3,097,917 and 6,710,589

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Solution

The third proportional to 3,097,917 and 6,710,589 is: 14,536,220.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097,917 : 6,710,589 = 6,710,589 : x
  2. Step 2: Convert to fraction form
    3,097,917/6,710,589 = 6,710,589/x
  3. Step 3: Cross multiply
    3,097,917x = 6,710,589 × 6,710,589
  4. Step 4: Simplify right side
    3,097,917x = 45,032,004,726,921
  5. Step 5: Solve for x
    x = 45,032,004,726,921/3,097,917
  6. Step 6: Final answer
    x = 14,536,220.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.