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Finding the Third Proportional to 1,277,676 and 2,592,897

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Solution

The third proportional to 1,277,676 and 2,592,897 is: 5,261,987.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277,676 : 2,592,897 = 2,592,897 : x
  2. Step 2: Convert to fraction form
    1,277,676/2,592,897 = 2,592,897/x
  3. Step 3: Cross multiply
    1,277,676x = 2,592,897 × 2,592,897
  4. Step 4: Simplify right side
    1,277,676x = 6,723,114,852,609
  5. Step 5: Solve for x
    x = 6,723,114,852,609/1,277,676
  6. Step 6: Final answer
    x = 5,261,987.27

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.