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Finding the Third Proportional to 850,414.50 and 1,850,294.25

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Solution

The third proportional to 850,414.50 and 1,850,294.25 is: 4,025,788.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    850,414.50 : 1,850,294.25 = 1,850,294.25 : x
  2. Step 2: Convert to fraction form
    850,414.50/1,850,294.25 = 1,850,294.25/x
  3. Step 3: Cross multiply
    850,414.50x = 1,850,294.25 × 1,850,294.25
  4. Step 4: Simplify right side
    850,414.50x = 3,423,588,811,583.06
  5. Step 5: Solve for x
    x = 3,423,588,811,583.06/850,414.50
  6. Step 6: Final answer
    x = 4,025,788.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.