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Finding the Third Proportional to 2,260,892 and 4,914,468

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Solution

The third proportional to 2,260,892 and 4,914,468 is: 10,682,507.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,260,892 : 4,914,468 = 4,914,468 : x
  2. Step 2: Convert to fraction form
    2,260,892/4,914,468 = 4,914,468/x
  3. Step 3: Cross multiply
    2,260,892x = 4,914,468 × 4,914,468
  4. Step 4: Simplify right side
    2,260,892x = 24,151,995,723,024
  5. Step 5: Solve for x
    x = 24,151,995,723,024/2,260,892
  6. Step 6: Final answer
    x = 10,682,507.49

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.