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Finding the Third Proportional to 916,866 and 1,951,830

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Solution

The third proportional to 916,866 and 1,951,830 is: 4,155,067.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    916,866 : 1,951,830 = 1,951,830 : x
  2. Step 2: Convert to fraction form
    916,866/1,951,830 = 1,951,830/x
  3. Step 3: Cross multiply
    916,866x = 1,951,830 × 1,951,830
  4. Step 4: Simplify right side
    916,866x = 3,809,640,348,900
  5. Step 5: Solve for x
    x = 3,809,640,348,900/916,866
  6. Step 6: Final answer
    x = 4,155,067.75

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