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Finding the Third Proportional to 2,000,823 and 3,102,795

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Solution

The third proportional to 2,000,823 and 3,102,795 is: 4,811,688.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000,823 : 3,102,795 = 3,102,795 : x
  2. Step 2: Convert to fraction form
    2,000,823/3,102,795 = 3,102,795/x
  3. Step 3: Cross multiply
    2,000,823x = 3,102,795 × 3,102,795
  4. Step 4: Simplify right side
    2,000,823x = 9,627,336,812,025
  5. Step 5: Solve for x
    x = 9,627,336,812,025/2,000,823
  6. Step 6: Final answer
    x = 4,811,688.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.