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Finding the Third Proportional to 2,721,897 and 5,941,863

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Solution

The third proportional to 2,721,897 and 5,941,863 is: 12,971,003.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,721,897 : 5,941,863 = 5,941,863 : x
  2. Step 2: Convert to fraction form
    2,721,897/5,941,863 = 5,941,863/x
  3. Step 3: Cross multiply
    2,721,897x = 5,941,863 × 5,941,863
  4. Step 4: Simplify right side
    2,721,897x = 35,305,735,910,769
  5. Step 5: Solve for x
    x = 35,305,735,910,769/2,721,897
  6. Step 6: Final answer
    x = 12,971,003.65

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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.