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Finding the Third Proportional to 431,500 and 945,944

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Solution

The third proportional to 431,500 and 945,944 is: 2,073,719.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,500 : 945,944 = 945,944 : x
  2. Step 2: Convert to fraction form
    431,500/945,944 = 945,944/x
  3. Step 3: Cross multiply
    431,500x = 945,944 × 945,944
  4. Step 4: Simplify right side
    431,500x = 894,810,051,136
  5. Step 5: Solve for x
    x = 894,810,051,136/431,500
  6. Step 6: Final answer
    x = 2,073,719.70

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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.