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Finding the Third Proportional to 1,309,914 and 2,082,960

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Solution

The third proportional to 1,309,914 and 2,082,960 is: 3,312,219.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309,914 : 2,082,960 = 2,082,960 : x
  2. Step 2: Convert to fraction form
    1,309,914/2,082,960 = 2,082,960/x
  3. Step 3: Cross multiply
    1,309,914x = 2,082,960 × 2,082,960
  4. Step 4: Simplify right side
    1,309,914x = 4,338,722,361,600
  5. Step 5: Solve for x
    x = 4,338,722,361,600/1,309,914
  6. Step 6: Final answer
    x = 3,312,219.25

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.