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Finding the Third Proportional to 1,233,798 and 2,972,268

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Solution

The third proportional to 1,233,798 and 2,972,268 is: 7,160,310.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233,798 : 2,972,268 = 2,972,268 : x
  2. Step 2: Convert to fraction form
    1,233,798/2,972,268 = 2,972,268/x
  3. Step 3: Cross multiply
    1,233,798x = 2,972,268 × 2,972,268
  4. Step 4: Simplify right side
    1,233,798x = 8,834,377,063,824
  5. Step 5: Solve for x
    x = 8,834,377,063,824/1,233,798
  6. Step 6: Final answer
    x = 7,160,310.73

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.