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Finding the Third Proportional to 431,190 and 916,812

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Solution

The third proportional to 431,190 and 916,812 is: 1,949,359.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,190 : 916,812 = 916,812 : x
  2. Step 2: Convert to fraction form
    431,190/916,812 = 916,812/x
  3. Step 3: Cross multiply
    431,190x = 916,812 × 916,812
  4. Step 4: Simplify right side
    431,190x = 840,544,243,344
  5. Step 5: Solve for x
    x = 840,544,243,344/431,190
  6. Step 6: Final answer
    x = 1,949,359.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.