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Finding the Third Proportional to 1,261,029 and 1,769,474

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Solution

The third proportional to 1,261,029 and 1,769,474 is: 2,482,923.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261,029 : 1,769,474 = 1,769,474 : x
  2. Step 2: Convert to fraction form
    1,261,029/1,769,474 = 1,769,474/x
  3. Step 3: Cross multiply
    1,261,029x = 1,769,474 × 1,769,474
  4. Step 4: Simplify right side
    1,261,029x = 3,131,038,236,676
  5. Step 5: Solve for x
    x = 3,131,038,236,676/1,261,029
  6. Step 6: Final answer
    x = 2,482,923.26

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.