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Finding the Third Proportional to 2,321,823 and 3,587,806.50

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Solution

The third proportional to 2,321,823 and 3,587,806.50 is: 5,544,072.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321,823 : 3,587,806.50 = 3,587,806.50 : x
  2. Step 2: Convert to fraction form
    2,321,823/3,587,806.50 = 3,587,806.50/x
  3. Step 3: Cross multiply
    2,321,823x = 3,587,806.50 × 3,587,806.50
  4. Step 4: Simplify right side
    2,321,823x = 12,872,355,481,442.25
  5. Step 5: Solve for x
    x = 12,872,355,481,442.25/2,321,823
  6. Step 6: Final answer
    x = 5,544,072.69

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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.