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Finding the Third Proportional to 664,866.50 and 1,469,701

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Solution

The third proportional to 664,866.50 and 1,469,701 is: 3,248,804.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,866.50 : 1,469,701 = 1,469,701 : x
  2. Step 2: Convert to fraction form
    664,866.50/1,469,701 = 1,469,701/x
  3. Step 3: Cross multiply
    664,866.50x = 1,469,701 × 1,469,701
  4. Step 4: Simplify right side
    664,866.50x = 2,160,021,029,401
  5. Step 5: Solve for x
    x = 2,160,021,029,401/664,866.50
  6. Step 6: Final answer
    x = 3,248,804.13

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.