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Finding the Third Proportional to 2,082,348 and 3,149,748

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Solution

The third proportional to 2,082,348 and 3,149,748 is: 4,764,291.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082,348 : 3,149,748 = 3,149,748 : x
  2. Step 2: Convert to fraction form
    2,082,348/3,149,748 = 3,149,748/x
  3. Step 3: Cross multiply
    2,082,348x = 3,149,748 × 3,149,748
  4. Step 4: Simplify right side
    2,082,348x = 9,920,912,463,504
  5. Step 5: Solve for x
    x = 9,920,912,463,504/2,082,348
  6. Step 6: Final answer
    x = 4,764,291.30

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.