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Finding the Third Proportional to 2,418,419 and 3,614,992

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Solution

The third proportional to 2,418,419 and 3,614,992 is: 5,403,599.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,418,419 : 3,614,992 = 3,614,992 : x
  2. Step 2: Convert to fraction form
    2,418,419/3,614,992 = 3,614,992/x
  3. Step 3: Cross multiply
    2,418,419x = 3,614,992 × 3,614,992
  4. Step 4: Simplify right side
    2,418,419x = 13,068,167,160,064
  5. Step 5: Solve for x
    x = 13,068,167,160,064/2,418,419
  6. Step 6: Final answer
    x = 5,403,599.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.