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Finding the Third Proportional to 1,420,416 and 3,102,912

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Solution

The third proportional to 1,420,416 and 3,102,912 is: 6,778,340.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420,416 : 3,102,912 = 3,102,912 : x
  2. Step 2: Convert to fraction form
    1,420,416/3,102,912 = 3,102,912/x
  3. Step 3: Cross multiply
    1,420,416x = 3,102,912 × 3,102,912
  4. Step 4: Simplify right side
    1,420,416x = 9,628,062,879,744
  5. Step 5: Solve for x
    x = 9,628,062,879,744/1,420,416
  6. Step 6: Final answer
    x = 6,778,340.20

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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.