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Finding the Third Proportional to 439,917.75 and 963,921.38

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Solution

The third proportional to 439,917.75 and 963,921.38 is: 2,112,086.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,917.75 : 963,921.38 = 963,921.38 : x
  2. Step 2: Convert to fraction form
    439,917.75/963,921.38 = 963,921.38/x
  3. Step 3: Cross multiply
    439,917.75x = 963,921.38 × 963,921.38
  4. Step 4: Simplify right side
    439,917.75x = 929,144,417,181.89
  5. Step 5: Solve for x
    x = 929,144,417,181.89/439,917.75
  6. Step 6: Final answer
    x = 2,112,086.67

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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.