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Finding the Third Proportional to 1,222,723 and 2,877,016

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Solution

The third proportional to 1,222,723 and 2,877,016 is: 6,769,498.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222,723 : 2,877,016 = 2,877,016 : x
  2. Step 2: Convert to fraction form
    1,222,723/2,877,016 = 2,877,016/x
  3. Step 3: Cross multiply
    1,222,723x = 2,877,016 × 2,877,016
  4. Step 4: Simplify right side
    1,222,723x = 8,277,221,064,256
  5. Step 5: Solve for x
    x = 8,277,221,064,256/1,222,723
  6. Step 6: Final answer
    x = 6,769,498.13

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.