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Finding the Third Proportional to 440,620 and 945,164

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Solution

The third proportional to 440,620 and 945,164 is: 2,027,449.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,620 : 945,164 = 945,164 : x
  2. Step 2: Convert to fraction form
    440,620/945,164 = 945,164/x
  3. Step 3: Cross multiply
    440,620x = 945,164 × 945,164
  4. Step 4: Simplify right side
    440,620x = 893,334,986,896
  5. Step 5: Solve for x
    x = 893,334,986,896/440,620
  6. Step 6: Final answer
    x = 2,027,449.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.