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Finding the Third Proportional to 1,857,942 and 4,081,251

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Solution

The third proportional to 1,857,942 and 4,081,251 is: 8,965,085.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857,942 : 4,081,251 = 4,081,251 : x
  2. Step 2: Convert to fraction form
    1,857,942/4,081,251 = 4,081,251/x
  3. Step 3: Cross multiply
    1,857,942x = 4,081,251 × 4,081,251
  4. Step 4: Simplify right side
    1,857,942x = 16,656,609,725,001
  5. Step 5: Solve for x
    x = 16,656,609,725,001/1,857,942
  6. Step 6: Final answer
    x = 8,965,085.95

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.