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Finding the Third Proportional to 2,537,474 and 3,456,195

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Solution

The third proportional to 2,537,474 and 3,456,195 is: 4,707,549.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537,474 : 3,456,195 = 3,456,195 : x
  2. Step 2: Convert to fraction form
    2,537,474/3,456,195 = 3,456,195/x
  3. Step 3: Cross multiply
    2,537,474x = 3,456,195 × 3,456,195
  4. Step 4: Simplify right side
    2,537,474x = 11,945,283,878,025
  5. Step 5: Solve for x
    x = 11,945,283,878,025/2,537,474
  6. Step 6: Final answer
    x = 4,707,549.27

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.