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Finding the Third Proportional to 1,296,960 and 2,071,918

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Solution

The third proportional to 1,296,960 and 2,071,918 is: 3,309,927.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296,960 : 2,071,918 = 2,071,918 : x
  2. Step 2: Convert to fraction form
    1,296,960/2,071,918 = 2,071,918/x
  3. Step 3: Cross multiply
    1,296,960x = 2,071,918 × 2,071,918
  4. Step 4: Simplify right side
    1,296,960x = 4,292,844,198,724
  5. Step 5: Solve for x
    x = 4,292,844,198,724/1,296,960
  6. Step 6: Final answer
    x = 3,309,927.98

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.