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Finding the Third Proportional to 442,747 and 978,524

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Solution

The third proportional to 442,747 and 978,524 is: 2,162,655.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,747 : 978,524 = 978,524 : x
  2. Step 2: Convert to fraction form
    442,747/978,524 = 978,524/x
  3. Step 3: Cross multiply
    442,747x = 978,524 × 978,524
  4. Step 4: Simplify right side
    442,747x = 957,509,218,576
  5. Step 5: Solve for x
    x = 957,509,218,576/442,747
  6. Step 6: Final answer
    x = 2,162,655.46

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.