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Finding the Third Proportional to 2,645,840 and 5,609,608

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Solution

The third proportional to 2,645,840 and 5,609,608 is: 11,893,274.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645,840 : 5,609,608 = 5,609,608 : x
  2. Step 2: Convert to fraction form
    2,645,840/5,609,608 = 5,609,608/x
  3. Step 3: Cross multiply
    2,645,840x = 5,609,608 × 5,609,608
  4. Step 4: Simplify right side
    2,645,840x = 31,467,701,913,664
  5. Step 5: Solve for x
    x = 31,467,701,913,664/2,645,840
  6. Step 6: Final answer
    x = 11,893,274.69

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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.