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Finding the Third Proportional to 2,103,894 and 2,976,993

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Solution

The third proportional to 2,103,894 and 2,976,993 is: 4,212,421.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103,894 : 2,976,993 = 2,976,993 : x
  2. Step 2: Convert to fraction form
    2,103,894/2,976,993 = 2,976,993/x
  3. Step 3: Cross multiply
    2,103,894x = 2,976,993 × 2,976,993
  4. Step 4: Simplify right side
    2,103,894x = 8,862,487,322,049
  5. Step 5: Solve for x
    x = 8,862,487,322,049/2,103,894
  6. Step 6: Final answer
    x = 4,212,421.03

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.