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Finding the Third Proportional to 1,106,181 and 2,412,594

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Solution

The third proportional to 1,106,181 and 2,412,594 is: 5,261,896.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106,181 : 2,412,594 = 2,412,594 : x
  2. Step 2: Convert to fraction form
    1,106,181/2,412,594 = 2,412,594/x
  3. Step 3: Cross multiply
    1,106,181x = 2,412,594 × 2,412,594
  4. Step 4: Simplify right side
    1,106,181x = 5,820,609,808,836
  5. Step 5: Solve for x
    x = 5,820,609,808,836/1,106,181
  6. Step 6: Final answer
    x = 5,261,896.39

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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.