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Finding the Third Proportional to 1,360,478 and 2,965,912

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Solution

The third proportional to 1,360,478 and 2,965,912 is: 6,465,840.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,360,478 : 2,965,912 = 2,965,912 : x
  2. Step 2: Convert to fraction form
    1,360,478/2,965,912 = 2,965,912/x
  3. Step 3: Cross multiply
    1,360,478x = 2,965,912 × 2,965,912
  4. Step 4: Simplify right side
    1,360,478x = 8,796,633,991,744
  5. Step 5: Solve for x
    x = 8,796,633,991,744/1,360,478
  6. Step 6: Final answer
    x = 6,465,840.68

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.