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Finding the Third Proportional to 440,972.86 and 934,933.22

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Solution

The third proportional to 440,972.86 and 934,933.22 is: 1,982,208.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,972.86 : 934,933.22 = 934,933.22 : x
  2. Step 2: Convert to fraction form
    440,972.86/934,933.22 = 934,933.22/x
  3. Step 3: Cross multiply
    440,972.86x = 934,933.22 × 934,933.22
  4. Step 4: Simplify right side
    440,972.86x = 874,100,123,522.24
  5. Step 5: Solve for x
    x = 874,100,123,522.24/440,972.86
  6. Step 6: Final answer
    x = 1,982,208.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.