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Finding the Third Proportional to 1,658,586 and 2,540,301

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Solution

The third proportional to 1,658,586 and 2,540,301 is: 3,890,741.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658,586 : 2,540,301 = 2,540,301 : x
  2. Step 2: Convert to fraction form
    1,658,586/2,540,301 = 2,540,301/x
  3. Step 3: Cross multiply
    1,658,586x = 2,540,301 × 2,540,301
  4. Step 4: Simplify right side
    1,658,586x = 6,453,129,170,601
  5. Step 5: Solve for x
    x = 6,453,129,170,601/1,658,586
  6. Step 6: Final answer
    x = 3,890,741.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.