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Finding the Third Proportional to 422,974 and 915,644

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Solution

The third proportional to 422,974 and 915,644 is: 1,982,164.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,974 : 915,644 = 915,644 : x
  2. Step 2: Convert to fraction form
    422,974/915,644 = 915,644/x
  3. Step 3: Cross multiply
    422,974x = 915,644 × 915,644
  4. Step 4: Simplify right side
    422,974x = 838,403,934,736
  5. Step 5: Solve for x
    x = 838,403,934,736/422,974
  6. Step 6: Final answer
    x = 1,982,164.23

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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.