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Finding the Third Proportional to 420,912.07 and 925,898.34

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Solution

The third proportional to 420,912.07 and 925,898.34 is: 2,036,738.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,912.07 : 925,898.34 = 925,898.34 : x
  2. Step 2: Convert to fraction form
    420,912.07/925,898.34 = 925,898.34/x
  3. Step 3: Cross multiply
    420,912.07x = 925,898.34 × 925,898.34
  4. Step 4: Simplify right side
    420,912.07x = 857,287,742,958.99
  5. Step 5: Solve for x
    x = 857,287,742,958.99/420,912.07
  6. Step 6: Final answer
    x = 2,036,738.32

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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.