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Finding the Third Proportional to 851,794.50 and 1,876,423.50

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Solution

The third proportional to 851,794.50 and 1,876,423.50 is: 4,133,585.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,794.50 : 1,876,423.50 = 1,876,423.50 : x
  2. Step 2: Convert to fraction form
    851,794.50/1,876,423.50 = 1,876,423.50/x
  3. Step 3: Cross multiply
    851,794.50x = 1,876,423.50 × 1,876,423.50
  4. Step 4: Simplify right side
    851,794.50x = 3,520,965,151,352.25
  5. Step 5: Solve for x
    x = 3,520,965,151,352.25/851,794.50
  6. Step 6: Final answer
    x = 4,133,585.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.