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Finding the Third Proportional to 794,760 and 1,703,151

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Solution

The third proportional to 794,760 and 1,703,151 is: 3,649,810.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    794,760 : 1,703,151 = 1,703,151 : x
  2. Step 2: Convert to fraction form
    794,760/1,703,151 = 1,703,151/x
  3. Step 3: Cross multiply
    794,760x = 1,703,151 × 1,703,151
  4. Step 4: Simplify right side
    794,760x = 2,900,723,328,801
  5. Step 5: Solve for x
    x = 2,900,723,328,801/794,760
  6. Step 6: Final answer
    x = 3,649,810.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.