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Finding the Third Proportional to 1,191,840 and 2,606,493

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Solution

The third proportional to 1,191,840 and 2,606,493 is: 5,700,266.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191,840 : 2,606,493 = 2,606,493 : x
  2. Step 2: Convert to fraction form
    1,191,840/2,606,493 = 2,606,493/x
  3. Step 3: Cross multiply
    1,191,840x = 2,606,493 × 2,606,493
  4. Step 4: Simplify right side
    1,191,840x = 6,793,805,759,049
  5. Step 5: Solve for x
    x = 6,793,805,759,049/1,191,840
  6. Step 6: Final answer
    x = 5,700,266.61

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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.