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Finding the Third Proportional to 1,289,106 and 2,764,740

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Solution

The third proportional to 1,289,106 and 2,764,740 is: 5,929,525.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289,106 : 2,764,740 = 2,764,740 : x
  2. Step 2: Convert to fraction form
    1,289,106/2,764,740 = 2,764,740/x
  3. Step 3: Cross multiply
    1,289,106x = 2,764,740 × 2,764,740
  4. Step 4: Simplify right side
    1,289,106x = 7,643,787,267,600
  5. Step 5: Solve for x
    x = 7,643,787,267,600/1,289,106
  6. Step 6: Final answer
    x = 5,929,525.79

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.