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Finding the Third Proportional to 2,217,910.50 and 4,516,213.50

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Solution

The third proportional to 2,217,910.50 and 4,516,213.50 is: 9,196,125.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,217,910.50 : 4,516,213.50 = 4,516,213.50 : x
  2. Step 2: Convert to fraction form
    2,217,910.50/4,516,213.50 = 4,516,213.50/x
  3. Step 3: Cross multiply
    2,217,910.50x = 4,516,213.50 × 4,516,213.50
  4. Step 4: Simplify right side
    2,217,910.50x = 20,396,184,377,582.25
  5. Step 5: Solve for x
    x = 20,396,184,377,582.25/2,217,910.50
  6. Step 6: Final answer
    x = 9,196,125.98

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.