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Finding the Third Proportional to 707,920 and 1,540,242

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Solution

The third proportional to 707,920 and 1,540,242 is: 3,351,149.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,920 : 1,540,242 = 1,540,242 : x
  2. Step 2: Convert to fraction form
    707,920/1,540,242 = 1,540,242/x
  3. Step 3: Cross multiply
    707,920x = 1,540,242 × 1,540,242
  4. Step 4: Simplify right side
    707,920x = 2,372,345,418,564
  5. Step 5: Solve for x
    x = 2,372,345,418,564/707,920
  6. Step 6: Final answer
    x = 3,351,149.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.