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Finding the Third Proportional to 1,193,641 and 2,609,932

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Solution

The third proportional to 1,193,641 and 2,609,932 is: 5,706,694.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193,641 : 2,609,932 = 2,609,932 : x
  2. Step 2: Convert to fraction form
    1,193,641/2,609,932 = 2,609,932/x
  3. Step 3: Cross multiply
    1,193,641x = 2,609,932 × 2,609,932
  4. Step 4: Simplify right side
    1,193,641x = 6,811,745,044,624
  5. Step 5: Solve for x
    x = 6,811,745,044,624/1,193,641
  6. Step 6: Final answer
    x = 5,706,694.93

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.