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Finding the Third Proportional to 1,263,984 and 1,788,496

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Solution

The third proportional to 1,263,984 and 1,788,496 is: 2,530,663.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263,984 : 1,788,496 = 1,788,496 : x
  2. Step 2: Convert to fraction form
    1,263,984/1,788,496 = 1,788,496/x
  3. Step 3: Cross multiply
    1,263,984x = 1,788,496 × 1,788,496
  4. Step 4: Simplify right side
    1,263,984x = 3,198,717,942,016
  5. Step 5: Solve for x
    x = 3,198,717,942,016/1,263,984
  6. Step 6: Final answer
    x = 2,530,663.32

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.