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Finding the Third Proportional to 1,200,266 and 2,606,596

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Solution

The third proportional to 1,200,266 and 2,606,596 is: 5,660,697.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200,266 : 2,606,596 = 2,606,596 : x
  2. Step 2: Convert to fraction form
    1,200,266/2,606,596 = 2,606,596/x
  3. Step 3: Cross multiply
    1,200,266x = 2,606,596 × 2,606,596
  4. Step 4: Simplify right side
    1,200,266x = 6,794,342,707,216
  5. Step 5: Solve for x
    x = 6,794,342,707,216/1,200,266
  6. Step 6: Final answer
    x = 5,660,697.47

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.