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Finding the Third Proportional to 422,844 and 913,656

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Solution

The third proportional to 422,844 and 913,656 is: 1,974,173.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,844 : 913,656 = 913,656 : x
  2. Step 2: Convert to fraction form
    422,844/913,656 = 913,656/x
  3. Step 3: Cross multiply
    422,844x = 913,656 × 913,656
  4. Step 4: Simplify right side
    422,844x = 834,767,286,336
  5. Step 5: Solve for x
    x = 834,767,286,336/422,844
  6. Step 6: Final answer
    x = 1,974,173.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.