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Finding the Third Proportional to 422,478.75 and 939,414.50

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Solution

The third proportional to 422,478.75 and 939,414.50 is: 2,088,861.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,478.75 : 939,414.50 = 939,414.50 : x
  2. Step 2: Convert to fraction form
    422,478.75/939,414.50 = 939,414.50/x
  3. Step 3: Cross multiply
    422,478.75x = 939,414.50 × 939,414.50
  4. Step 4: Simplify right side
    422,478.75x = 882,499,602,810.25
  5. Step 5: Solve for x
    x = 882,499,602,810.25/422,478.75
  6. Step 6: Final answer
    x = 2,088,861.52

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.