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Finding the Third Proportional to 2,811,834 and 5,823,063

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Solution

The third proportional to 2,811,834 and 5,823,063 is: 12,059,055.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811,834 : 5,823,063 = 5,823,063 : x
  2. Step 2: Convert to fraction form
    2,811,834/5,823,063 = 5,823,063/x
  3. Step 3: Cross multiply
    2,811,834x = 5,823,063 × 5,823,063
  4. Step 4: Simplify right side
    2,811,834x = 33,908,062,701,969
  5. Step 5: Solve for x
    x = 33,908,062,701,969/2,811,834
  6. Step 6: Final answer
    x = 12,059,055.66

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.