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Finding the Third Proportional to 421,774 and 913,634

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Solution

The third proportional to 421,774 and 913,634 is: 1,979,086.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,774 : 913,634 = 913,634 : x
  2. Step 2: Convert to fraction form
    421,774/913,634 = 913,634/x
  3. Step 3: Cross multiply
    421,774x = 913,634 × 913,634
  4. Step 4: Simplify right side
    421,774x = 834,727,085,956
  5. Step 5: Solve for x
    x = 834,727,085,956/421,774
  6. Step 6: Final answer
    x = 1,979,086.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.