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Finding the Third Proportional to 2,430,093 and 3,740,397

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Solution

The third proportional to 2,430,093 and 3,740,397 is: 5,757,215.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430,093 : 3,740,397 = 3,740,397 : x
  2. Step 2: Convert to fraction form
    2,430,093/3,740,397 = 3,740,397/x
  3. Step 3: Cross multiply
    2,430,093x = 3,740,397 × 3,740,397
  4. Step 4: Simplify right side
    2,430,093x = 13,990,569,717,609
  5. Step 5: Solve for x
    x = 13,990,569,717,609/2,430,093
  6. Step 6: Final answer
    x = 5,757,215.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.