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Finding the Third Proportional to 1,473,423.50 and 3,220,756

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Solution

The third proportional to 1,473,423.50 and 3,220,756 is: 7,040,249.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473,423.50 : 3,220,756 = 3,220,756 : x
  2. Step 2: Convert to fraction form
    1,473,423.50/3,220,756 = 3,220,756/x
  3. Step 3: Cross multiply
    1,473,423.50x = 3,220,756 × 3,220,756
  4. Step 4: Simplify right side
    1,473,423.50x = 10,373,269,211,536
  5. Step 5: Solve for x
    x = 10,373,269,211,536/1,473,423.50
  6. Step 6: Final answer
    x = 7,040,249.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.