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Finding the Third Proportional to 1,307,676 and 2,025,666

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Solution

The third proportional to 1,307,676 and 2,025,666 is: 3,137,874.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307,676 : 2,025,666 = 2,025,666 : x
  2. Step 2: Convert to fraction form
    1,307,676/2,025,666 = 2,025,666/x
  3. Step 3: Cross multiply
    1,307,676x = 2,025,666 × 2,025,666
  4. Step 4: Simplify right side
    1,307,676x = 4,103,322,743,556
  5. Step 5: Solve for x
    x = 4,103,322,743,556/1,307,676
  6. Step 6: Final answer
    x = 3,137,874.17

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.