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Finding the Third Proportional to 2,129,584.50 and 4,618,485

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Solution

The third proportional to 2,129,584.50 and 4,618,485 is: 10,016,227.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129,584.50 : 4,618,485 = 4,618,485 : x
  2. Step 2: Convert to fraction form
    2,129,584.50/4,618,485 = 4,618,485/x
  3. Step 3: Cross multiply
    2,129,584.50x = 4,618,485 × 4,618,485
  4. Step 4: Simplify right side
    2,129,584.50x = 21,330,403,695,225
  5. Step 5: Solve for x
    x = 21,330,403,695,225/2,129,584.50
  6. Step 6: Final answer
    x = 10,016,227.91

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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.