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Finding the Third Proportional to 1,228,383 and 2,657,967.75

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Solution

The third proportional to 1,228,383 and 2,657,967.75 is: 5,751,294.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228,383 : 2,657,967.75 = 2,657,967.75 : x
  2. Step 2: Convert to fraction form
    1,228,383/2,657,967.75 = 2,657,967.75/x
  3. Step 3: Cross multiply
    1,228,383x = 2,657,967.75 × 2,657,967.75
  4. Step 4: Simplify right side
    1,228,383x = 7,064,792,560,040.06
  5. Step 5: Solve for x
    x = 7,064,792,560,040.06/1,228,383
  6. Step 6: Final answer
    x = 5,751,294.64

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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.