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Finding the Third Proportional to 2,609,847 and 5,749,470

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Solution

The third proportional to 2,609,847 and 5,749,470 is: 12,666,031.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609,847 : 5,749,470 = 5,749,470 : x
  2. Step 2: Convert to fraction form
    2,609,847/5,749,470 = 5,749,470/x
  3. Step 3: Cross multiply
    2,609,847x = 5,749,470 × 5,749,470
  4. Step 4: Simplify right side
    2,609,847x = 33,056,405,280,900
  5. Step 5: Solve for x
    x = 33,056,405,280,900/2,609,847
  6. Step 6: Final answer
    x = 12,666,031.87

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.