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Finding the Third Proportional to 1,281,106 and 1,965,075

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Solution

The third proportional to 1,281,106 and 1,965,075 is: 3,014,207.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281,106 : 1,965,075 = 1,965,075 : x
  2. Step 2: Convert to fraction form
    1,281,106/1,965,075 = 1,965,075/x
  3. Step 3: Cross multiply
    1,281,106x = 1,965,075 × 1,965,075
  4. Step 4: Simplify right side
    1,281,106x = 3,861,519,755,625
  5. Step 5: Solve for x
    x = 3,861,519,755,625/1,281,106
  6. Step 6: Final answer
    x = 3,014,207.85

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.