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Finding the Third Proportional to 431,489 and 945,922

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Solution

The third proportional to 431,489 and 945,922 is: 2,073,676.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,489 : 945,922 = 945,922 : x
  2. Step 2: Convert to fraction form
    431,489/945,922 = 945,922/x
  3. Step 3: Cross multiply
    431,489x = 945,922 × 945,922
  4. Step 4: Simplify right side
    431,489x = 894,768,430,084
  5. Step 5: Solve for x
    x = 894,768,430,084/431,489
  6. Step 6: Final answer
    x = 2,073,676.11

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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.