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Finding the Third Proportional to 2,605,498 and 5,741,072

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Solution

The third proportional to 2,605,498 and 5,741,072 is: 12,650,137.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605,498 : 5,741,072 = 5,741,072 : x
  2. Step 2: Convert to fraction form
    2,605,498/5,741,072 = 5,741,072/x
  3. Step 3: Cross multiply
    2,605,498x = 5,741,072 × 5,741,072
  4. Step 4: Simplify right side
    2,605,498x = 32,959,907,709,184
  5. Step 5: Solve for x
    x = 32,959,907,709,184/2,605,498
  6. Step 6: Final answer
    x = 12,650,137.41

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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.