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Finding the Third Proportional to 2,586,212 and 5,620,084

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Solution

The third proportional to 2,586,212 and 5,620,084 is: 12,212,975.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586,212 : 5,620,084 = 5,620,084 : x
  2. Step 2: Convert to fraction form
    2,586,212/5,620,084 = 5,620,084/x
  3. Step 3: Cross multiply
    2,586,212x = 5,620,084 × 5,620,084
  4. Step 4: Simplify right side
    2,586,212x = 31,585,344,167,056
  5. Step 5: Solve for x
    x = 31,585,344,167,056/2,586,212
  6. Step 6: Final answer
    x = 12,212,975.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.