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Finding the Third Proportional to 1,755,874 and 3,830,823

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Solution

The third proportional to 1,755,874 and 3,830,823 is: 8,357,777.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755,874 : 3,830,823 = 3,830,823 : x
  2. Step 2: Convert to fraction form
    1,755,874/3,830,823 = 3,830,823/x
  3. Step 3: Cross multiply
    1,755,874x = 3,830,823 × 3,830,823
  4. Step 4: Simplify right side
    1,755,874x = 14,675,204,857,329
  5. Step 5: Solve for x
    x = 14,675,204,857,329/1,755,874
  6. Step 6: Final answer
    x = 8,357,777.87

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.