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Finding the Third Proportional to 1,296,957 and 2,071,920

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Solution

The third proportional to 1,296,957 and 2,071,920 is: 3,309,942.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296,957 : 2,071,920 = 2,071,920 : x
  2. Step 2: Convert to fraction form
    1,296,957/2,071,920 = 2,071,920/x
  3. Step 3: Cross multiply
    1,296,957x = 2,071,920 × 2,071,920
  4. Step 4: Simplify right side
    1,296,957x = 4,292,852,486,400
  5. Step 5: Solve for x
    x = 4,292,852,486,400/1,296,957
  6. Step 6: Final answer
    x = 3,309,942.03

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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.