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Finding the Third Proportional to 431,648 and 1,008,188

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Solution

The third proportional to 431,648 and 1,008,188 is: 2,354,796.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,648 : 1,008,188 = 1,008,188 : x
  2. Step 2: Convert to fraction form
    431,648/1,008,188 = 1,008,188/x
  3. Step 3: Cross multiply
    431,648x = 1,008,188 × 1,008,188
  4. Step 4: Simplify right side
    431,648x = 1,016,443,043,344
  5. Step 5: Solve for x
    x = 1,016,443,043,344/431,648
  6. Step 6: Final answer
    x = 2,354,796.14

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.