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Finding the Third Proportional to 1,307,396 and 2,824,866

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Solution

The third proportional to 1,307,396 and 2,824,866 is: 6,103,634.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307,396 : 2,824,866 = 2,824,866 : x
  2. Step 2: Convert to fraction form
    1,307,396/2,824,866 = 2,824,866/x
  3. Step 3: Cross multiply
    1,307,396x = 2,824,866 × 2,824,866
  4. Step 4: Simplify right side
    1,307,396x = 7,979,867,917,956
  5. Step 5: Solve for x
    x = 7,979,867,917,956/1,307,396
  6. Step 6: Final answer
    x = 6,103,634.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.