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Finding the Third Proportional to 1,429,689 and 2,178,075

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Solution

The third proportional to 1,429,689 and 2,178,075 is: 3,318,211.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429,689 : 2,178,075 = 2,178,075 : x
  2. Step 2: Convert to fraction form
    1,429,689/2,178,075 = 2,178,075/x
  3. Step 3: Cross multiply
    1,429,689x = 2,178,075 × 2,178,075
  4. Step 4: Simplify right side
    1,429,689x = 4,744,010,705,625
  5. Step 5: Solve for x
    x = 4,744,010,705,625/1,429,689
  6. Step 6: Final answer
    x = 3,318,211.66

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.