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Finding the Third Proportional to 2,687,265 and 5,846,913

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Solution

The third proportional to 2,687,265 and 5,846,913 is: 12,721,630.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687,265 : 5,846,913 = 5,846,913 : x
  2. Step 2: Convert to fraction form
    2,687,265/5,846,913 = 5,846,913/x
  3. Step 3: Cross multiply
    2,687,265x = 5,846,913 × 5,846,913
  4. Step 4: Simplify right side
    2,687,265x = 34,186,391,629,569
  5. Step 5: Solve for x
    x = 34,186,391,629,569/2,687,265
  6. Step 6: Final answer
    x = 12,721,630.22

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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.